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Publications FYMA
Recherchez une publication dans la base de données FYMA en
entrant des mots clés (auteurs, année, titre, ...) dans la case suivante:
41 publications trouvées pour ' 1996'
UCL-IPT-
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Auteurs:
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Jean-Marc Gérard
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Titre:
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'Georges Lemaître et l'histoire de notre univers'
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Références:
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'Mgr. Lemaître, savant et croyant (Actes du Colloque tenu à Louvain-la-Neuve, le 4.11.1994) Réminisciences; 3,pp.23-55 ; J.-F. Stoffel (éd.), Centre interfacultaire d'étude en histoire des sciences, UCL, Louvain-la-Neuve 1996'
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Résumé:
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UCL-IPT-97-03 : ( ps.gz)
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Auteurs:
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G. Lopez Castro
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Titre:
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Conventional and S-matrix approaches to hadronic resonances
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Références:
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To appear in the Proc. of the Semigroup Symposium of the
XXI International Symposium on Group Theoretical Methods in Physics,
15-20 july 1996m Goslar Germany.
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Résumé:
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We present a comparison of the conventional and S-matrix
formalisms for the description of hadronic resonances in particle
physics. Using the $
ho^0$ meson resonance as an illustrative
example, we argue that the pole of the S-matrix provides a
definition for resonance properties with suitable physical
properties, namely independent of the theoretical model and
background subtraction from experimental data.
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UCL-IPT-96-24-2
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Auteurs:
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Jean-Pierre Antoine, P. Vandergheynst
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Titre:
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Contrast enhancement inimages using the two-dimensional wavelet transform
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Références:
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Proc. IWISP'96 (3rdInt. Workshop Image & Signal Processing), Manchester, Nov. 1996' pp.65-68 ; B.G. Mertzios and P. Liatsis (eds.), Elsevier, Amsterdam 1996'
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Résumé:
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UCL-IPT-96-24 : ( pdf)
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Auteurs:
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Radelet-de Grave, Patricia
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Titre:
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Mathématique, architecture et mécanique à l'école de François d'Aguillon et de Grégoire de Saint-Vincent
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Références:
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Actes du Colloque Viola, Turin 1996, sous presse
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Résumé:
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Le but de cet article ne sera pas de suivre un thème scientifique précis mais au contraire, comme l'œuvre de Viola nous y invite, d'établir des liens et des recoupements entre différents types de travaux historiques. Il s'agit principalement de recoupements entre travaux d'historiens de l'art , d'historiens de la compagnie de Jésus et d'historiens des sciences.
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UCL-IPT-96-23 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine
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Titre:
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Two-dimensional directional wavelets and image processing
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Références:
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Proc. IWISP'96 (3rd Int. Workshop Image & Signal Processing), Manchester, Nov. 1996. (1996) pp.53-60; B.G. Mertzios and P. Liatsis (eds.), Elsevier, Amsterdam
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Résumé:
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The two-dimensional continuous wavelet transform (CWT) is characterized by a rotation parameter, in addition to the usual transformations and dilattions. This enables it to detect edges and directions in images, provided a directional wavelet is used. In this paper, we review the general properties of the 2-D CWT, with special emphasis on the directional aspects. We discuss, in particular, the problem of wavelet calibration and we present several applications of directional wavelets
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UCL-IPT-96-21 : ( ps.gz)
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Auteurs:
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J. Bricmont
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Titre:
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Postmodernism and its problems withscience
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Références:
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Arckimedes, Finnish Mathematical Society 5/96 (1996)13-25
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Résumé:
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UCL-IPT-96-20 : ( ps.gz)
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Auteurs:
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Jean-Marc Gérard
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Titre:
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Heavy flavours
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Références:
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Proc. of the Europhysics Conference on High Energy Physics (Brussels, July 1995) (1996) pp.813-823; J. Lemonne, C. Vander Velde and F. Verbeure (eds.), World Scientific, Singapore
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Résumé:
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The spectator model and the factorization hypothesis are confronted with the new experimental data on heavy flavour weak decays
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UCL-IPT-96-18 : ( ps.gz)
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Auteurs:
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Jean Bricmont, A. Kupiainen.
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Titre:
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Renormalization Group for fronts and patterns.
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Références:
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Proc. of the 2nd European Congress of Mathematics (Budapest, 1996), 1997
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Résumé:
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We review recent results on the stability of stationary solutions and of moving fronts in several nonlinear parabolic partial differential equations: the Ginzburg-Landau, Swift-Hohenberg and Cahn-Hillard equations, and chemical reaction-diffusion equations. Some of these results are obtained using the Renormalization Group method.
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UCL-IPT-96-17
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Auteurs:
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Jean-Pierre Antoine, D. Barache, R.M. Cesar Junior and L. da
F. Costa
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Titre:
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Multiscale shape analysis using the Continuous Wavelet
Transform.
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Références:
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Résumé:
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We present a new approach to the problem of two-dimensional
multiscale shape representation and analysis, based on the
one-dimensional Continuous Wavelet Transform (CWT). The shape is
represented by the complex signal that describes its boundary, and
the CWT is applied to this signal, leading to the so called
W-representation. Wavelet theory provides the W-representation
with several properties that are generally required from shape
representation frameworks. In addition, we introduce algorithms
for extracting meaningful information about the shape from its
W-representation, for instance, detection of dominant points and
shape partitioning, natural scales analysis, and fractal-based
analysis. The algorithms that accomplish these tasks are tested on
shapes obtained from synthetic and real images. Thus the
W-representation yields a unified approach to a number of
important problems of shape characterization for purposes of
machine vision.
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UCL-IPT-96-16
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Auteurs:
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Jean-Pierre Antoine
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Titre:
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The Continuous Wavelet Transform, from signal processing to
motion analysis
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Références:
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BENEFIT Summer School on Wavelets, Zakopane (Poland), Sept.
1996, pp.1-33; T. Reginska and A. Swierniak (eds.), STU, Gliwice, 1996
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Résumé:
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UCL-IPT-96-15 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine
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Titre:
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Wavelets in molecular and condensed-matter physics
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Références:
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Workshop on Spline Functions and the Theory of Wavelets (Montréal 1996) AMS, Providence, CRM Proceedings and Lecture Notes, vol. 18 (1999) pp. 245-259, S. Dubuc, G. Deslauriers (eds.)
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Résumé:
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UCL-IPT-96-14 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, Ph. Antoine et B. Piraux
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Titre:
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Wavelets in atomic physics
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Références:
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Workshop on Spline Functions and the Theory of Wavelets (Montréal 1996)AMS, Providence, 1997 (to appear)
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Résumé:
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UCL-IPT-96-13
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Auteurs:
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Jean-Pierre Antoine, P. Vandergheynst
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Titre:
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2-D Cauchy wavelets and symmetries in images
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Références:
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Proc. IEEE Intern. Conf. on Image Processing (ICIP-96), Lausanne, Sept. 1996 Vol. I, pp. 597-600; P. Delogne (ed.), IEEE, Piscataway, NJ, 1996
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Résumé:
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UCL-IPT-96-12 : ( ps.gz)
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Auteurs:
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David Delépine
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Titre:
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Electroweak baryogenesis and the minimal supersymmetric standard
model
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Références:
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hep-ph/9609346
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Résumé:
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In principle, the baryon asymmetry of the Universe can be
generated at the electroweak phase transition but the experimental
lower limit on the Higgs mass seems to rule out a Standard Model
scenario. However, it has been shown recently that in the Minimal
Supersymmetric Standard Model, the electroweak phase transition
can be a strong enough first order one for baryogenesis if the
mass of one top squark is close to or smaller then the top mass.
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UCL-IPT-96-10
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Auteurs:
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Jean-Pierre Antoine, D. Barache, R. Cesar, L. Costa
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Titre:
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Multiscale Shape Analysis using the continuous wavelet transform
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Références:
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Proc. IEEE Intern. Conf. on Image Processing (ICIP-96), Lausanne, Sept. 1996 Vol. I, pp. 291-294; P. Delogne (ed.), IEEE, Piscataway, NJ, 1996
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Résumé:
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We present a new approach to shape representation and analysis, which consists in treating the contour of a 2D shape as an 1D signal and analyzing it with the 1D continuous wavelet transform. Application is made to the detection of corners, natural scales and fractal behavior in 2D shapes.
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UCL-IPT-96-08 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine
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Titre:
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Symmetry-adapted wavelet analysis
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Références:
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Proc. IEEE Intern. Conf. on Image Processing (ICIP-96), Lausanne, Sept. 1996, Vol. III, pp. 177-180; P. Delogne (ed.), IEEE, Piscataway, NJ, 1996
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Résumé:
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We review the construction of continuous wavelet transforms adapted to a given symmetry. Then we discuss in detail successively spatial wavelets, wavelets on the sphere and space-time wavelets.
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UCL-IPT-96-07
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Auteurs:
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R. Cesar and L. da F. Costa.
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Titre:
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Shape Characterization by using the Gabor Transform.
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Références:
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7th IEEE Digital Signal Processing Workshop, Loen, Norway,
September 1-4, 1996.
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Résumé:
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This paper introduces a novel framework for 2D shape analysis from
its outline by using the Gabor Transform (GT). The shape's
boundary is represented by a complex signal, which is analyzed by
the GT. Three automatic methods for analyzing the GT
representation are discussed. Experimental results have shown that
the GT can be used in the identification of dominant points as
well as contour regions presenting periodic patterns (both
deterministic and statistic patterns). Some results for synthetic
and real images are presented and discussed.
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UCL-IPT-96-06
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Auteurs:
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R. Cesar, L. da F. Costa.
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Titre:
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Shape Characterization in Natural Scales by using the Multiscale
Bending Energy.
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Références:
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13th International Conference on Pattern Recognition, Technical University of Vienna, Austria, August 25-30, 1996.
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Résumé:
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This work presents a new approach to shape characterization and analysis based on multiscale bending energy. Shapes are represented by their outlines and their respective multiscale curvatures, i.e. the curvegram, are estimated by using a scheme based on Fourier Descriptors. The shrinkage problem is circumvented through perimeter normalization, which is crucial for allowing the quantitative analysis of the curvegram. Local and global multiscale bending energies are calculated from the curvegram, and the latter (i.e. global energy) is used in order to define the natural scales of the shape under analysis. Several issues concerning multiscale curvature quantitative analysis are discussed. The results regarding the application of the proposed technique to neuromorphometry are presented and discussed.
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UCL-IPT-96-05 : ( ps.gz)
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Auteurs:
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D. Delepine, Jean-Marc Gérard, R. Gonzalez Felipe, Jacques Weyers
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Titre:
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A light stop and electroweak baryogenesis.
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Références:
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Phys. Lett. B 386 (1996) pp. 183-188
hep-ph/9604440
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Résumé:
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The possibility of creating baryon asymmetry at the electroweak phase transition in the minimal supersymmetric standard model is considered for the case when right-handed squarks are much lighter than the left-handed ones. It is shown that the usual requirement $v(T_c)/T_c \gtrsim 1$ for baryogenesis can be satisfied in a range of the parameters of the model, consistent with present experimental bounds.
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UCL-IPT-96-03 : ( ps.gz)
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Auteurs:
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Jean Bricmont
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Titre:
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Science of Chaos or Chaos in Science?
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Références:
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Physicalia Magazine, Vol 17, pp 159-208. The flight from Science and Reason, PR Gross, N Levitt, MW Lewis (eds), Annals of the New York Academy of Sciences, volume 775, pp 131-175.
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Résumé:
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I try to clarify several confusions in the popular literature concerning chaos, determinism, the arrow of time, entropy and the role of probability in physics. Classical ideas going back to Laplace and Boltzmann are explained and defended while some recent views on irreversibility, due to Prigogine, are criticized.
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UCL-IPT-96-02 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, A. Inoue et H. Ogi
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Titre:
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Standard generalized vectors for partial O*-algebras
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Références:
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Annales de l'Institut H. Poincaré (to appear)
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Résumé:
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Standard generalized vectors for an O*-algebra N lead to a
Tomita-Takesaki theory of modular automorphisms on N, and this is
a key step in constructing KMS states on N (which would
represent equilibrium states if N is the observable algebra of
some physical system). In this paper, we extend to partial
O*-algebras the notion of standard generalized vector and we show
that they indeed satisfy the KMS condition. We also discuss
several less restrictive classes of generalized vectors for a
partial O*-algebra M, which all give rise to standard generalized
vectors for a partial GW*-algebra canonically associated to M,
either on the same domain or on a smaller dense domain. Finally we
discuss the extension of standard generalized vectors from a von
Neumann algebra A to a suitable partial GW*-algebra containing
A. Thus here also partial GW*-algebras play a distinguished role
among all partial O*-algebras.
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UCL-IPT-95-36 : ( pdf)
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Auteurs:
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Patricia Radelet-de Grave
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Titre:
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Articles : Huygens et les Bernoulli
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Références:
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De zeventiende eeuw, Cultuur in de Nederlanden in interdisciplinair perspectief, Christiaan Huygens, Jaargang 12, nr. 1' pp.253-273 1996'
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Résumé:
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UCL-IPT-95-35 : ( pdf)
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Auteurs:
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Patricia Radelet-de Grave
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Titre:
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Articles : Stevin, Kepler, Leibniz, Huygens
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Références:
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Dictionnaire du patrimoine littéraire européen, Patrimoine Littéraire Européen, vol. 8, Avènement de l'Equilibre Européen 1616-1720' p.18, 745-755, 1020-1027, De Boeck Université, 1996'
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Résumé:
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UCL-IPT-95-34
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Auteurs:
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Patricia Radelet-de Grave
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Titre:
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Andreas Speiser (1885-1978) et Herman Weyl (1885-1955), scientifiques, historiens et philosophes des sciences.
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Références:
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Revue Philosophique de Louvain 94 (1996) 502-535
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Résumé:
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UCL-IPT-95-32
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Auteurs:
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Patricia Radelet-de Grave
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Titre:
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Copernic, Stévin, Galilée et le réalité des orbites célestes
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Références:
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Le réalisme :contributions au séminaire d'histoire des sciences 1993-1994 'Réminisciences; 2, pp.119-151 ; J.-F. Stoffel (éd.), Centre interfacultaire d'étude en histoire des sciences, UCL, Louvain-la-Neuve 1996'
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Résumé:
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UCL-IPT-95-26
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Auteurs:
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Patricia Radelet-de Grave
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Titre:
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Vers la représentation vectorielle de la force
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Références:
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'Publicazzione del seminario di storiadelle Matematiche' 'T. Viola'', Associazione Subalpina, Torino, Mathesis (1996) 1-20'
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Résumé:
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UCL-IPT-95-22 : ( ps.gz)
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Auteurs:
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D. Delepine, Jean-Marc Gérard, R. Gonzalez Felipe
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Titre:
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Is the standard Higgs scalar elementary?
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Références:
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Phys. Lett. B 372 (1996) pp. 271-274
hep-ph/9512339
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Résumé:
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In the standard electroweak model, the measured top quark mass requires a sizeable Yukawa coupling to the fundamental scalar. This large coupling alone might induce a dynamical breaking of the electroweak symmetry as well as non-perturbative effects. If such is the case, even a standard Higgs scalar as light as 80 GeV should have a non-negligible $t \bar{t}$ component induced by the top condensate.
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UCL-IPT-95-19 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, R. Murenzi and Pierre Vandergheynst
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Titre:
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Two-dimensional directional wavelets in image processing
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Références:
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Int. Journal of Imaging Systems and Technology (1996) to
appear
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Résumé:
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The two-dimensional continuous wavelet transform (CWT) is
characterized by a rotation parameter, in addition to the usual
translations and dilations. This enables it to detect edges and
directions in images, provided a directional wavelet is used.
First we review the general properties of the 2-D CWT and describe
several useful representations. We describe various classes of
wavelets, including the directional ones. The we turn to the
problem of wavelet calibration, in particular the evaluation of
the scale and angle resolving power of a wavelet. Finally we
discuss several applications of directional wavelets.
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UCL-IPT-95-18 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, R. Murenzi, P. Vandergheynst
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Titre:
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Two-dimensional directional wavelets in image processing
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Références:
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Int. Journal of Imaging Systems and Technology 7 (1996) pp. 152-165
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Résumé:
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The two-dimensional continuous wavelet transform (CWT)
is characterized by a rotation parameter, in addition to the usual
translations and dilations. This enables it to detect edges and directions
in images, provided a directional wavelet is used. First we review the
general properties of the 2-D CWT and describe several useful
representations. We describe various classes of wavelets, including the
directional ones. Then we turn to the problem of wavelet calibration, in
particular, the evaluation of the scale and angle resolving power of a
wavelet. Finally we discuss several applications of directional wavelets.
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UCL-IPT-95-17 : ( ps.gz)
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Auteurs:
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A. Bernicha, G. Lopez Castro, Jean Pestieau
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Titre:
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S-matrix approach to two-pion production in $e^+ e^-$ annihilation and $\tau$ decay
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Références:
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Physical Review D 53 (1996) 4089-4091
hep-ph/9510435
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Résumé:
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Based on the S-matrix approach, we introduce a modified formula for the $\pi^\pm$ electromagnetic form factor which describes very well the experimental data in the energy region $2m_\pi \leq \sqrt{s} \leq$ 1.1 GeV. Using the CVC hypothesis we predict $B(\tau^- \to \pi^-\pi^0\nu_\tau)$ = (24.75 $\pm$ 0.38)$\%$, in excellent agreement with recent experiments.
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UCL-IPT-95-16 : ( ps.gz)
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Auteurs:
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T. Hambye
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Titre:
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Symmetry breaking induced by top quarkloops from a model without
scalar mass
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Références:
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Physics Letters B 371(1996) 87-92
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Résumé:
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UCL-IPT-95-14 : ( ps.gz)
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Auteurs:
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A. Bernicha, G. Lopez Castro, Jean Pestieau
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Titre:
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Pion-proton scattering and isospin breaking in the $\Delta^0 - \Delta^{++}$ system
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Références:
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Nuclear Physics A 597 (1996) 623-635 + figs.
hep-ph/9508388
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Résumé:
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We determine the mass and width of the $\Delta^{++} (\Delta^0)$ resonance from data on $\pi^+ p (\pi^- p)$ scattering both, in the pole of the $S$-matrix and conventional Breit-Wigner approaches to the scattering amplitude. We provide a simple formula that relates the two definitions for the parameters of the $\Delta$. Isospin symmetry breaking in the $\Delta^0 - \Delta^{++}$ system depends on the definition of the resonant properties: we find $M_0-M_{++} = 0.40 \pm 0.57$ MeV, $\Gamma_0-\Gamma_{++} = 6.89 \pm 0.95$ MeV in the pole approach while $\widetilde{M_0}-\widetilde{M_{++} = 2.25 \pm 0.68$ MeV, $\tilde \Gamma_0-\tilde \Gamma_{++} = 8.45 \pm 1.11$ MeV in the conventional approach.
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UCL-IPT-95-13 : ( ps.gz)
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Auteurs:
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G. Lopez Castro, J.L. Lucio, Jean Pestieau
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Titre:
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Remarks on the W propagator at the resonance
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Références:
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Int. J. Mod. Phys. A, 11 (1996) 563-570
hep-ph/9504351
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Résumé:
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We address the problem of properly defining the W^{+-} propagator in the resonance region. Particular attention is paid to the longitudinal piece of this propagator. We also discuss the related renormalization procedures and the unitarity property.
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UCL-IPT-95-11 : ( ps.gz)
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Auteurs:
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Jean Bricmont, A. Kupiainen
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Titre:
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High temperature expansions and dynamical systems
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Références:
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Communications in Mathematical Physics 178 (1996) 703-732
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Résumé:
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We develop a resummed high-temperature expansion for lattice spin systems with long range interactions, in models where the free energy is not, in general, analytic. We establish uniqueness of the Gibbs state and exponential decay of the correlation functions. Then, we apply this expansion to the Perron-Frobenius operator of weakly coupled map lattices.
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UCL-IPT-95-09 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, I. Mahara
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Titre:
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Classical Yang-Mills-Dirac equations : qualitative analysis of some solutions with a noncompact symmetry group
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Références:
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Letters in Mathematical Physics 38 (1996) 237-255
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Résumé:
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We consider classical Yang-Mills and Yang-Mills-Dirac equations on Minkowski space, with gauge group $SU(2)$, and look for solutions invariant (up to a gauge transformation) under $SO(3)\times SO_0(1,1)$ and $SO_0(2,1)\times SO(2)$, respectively. In each case we analyze the qualitative features of the solutions, in particular the asymptotic behavior as the solution approaches its singularities. The method is based on standard theorems from the theory of nonlinear ordinary differential equations.
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UCL-IPT-95-08 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, A. Inoue, C. Trapani
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Titre:
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Partial *-algebras closable operators: A review
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Références:
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Reviews Math. Physics 8 (1996) 1-42
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Résumé:
|
This paper reviews the theory of partial *-algebras of closable operators in Hilbert space (partial O*-algebras), with some emphasis on (partial GW*-algebras). First we discuss the general properties and the various types of partial *-algebras and partial O*-algebras. Then we summarize the representation theory of partial *-algebras, including a generalized Gel'fand-Naimark-Segal construction; the main tool here is the notion of positive sesquilinear form, that we study in some detail (extendability, normality, order structure, ldots). Finally we turn to automorphisms and derivations of partial O*-algebras, and their mutual relationship. The central theme here is to find conditions that guarantee spatiality.
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UCL-IPT-95-07 : ( zip)
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Auteurs:
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M. Chaichian, P. Chiappetta, Jean-Marc Gérard, R. Gonzalez Felipe, Jacques Weyers
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Titre:
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Top-Induced Electroweak Breaking in the Minimal Supersymmetric Standard Model
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Références:
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Phys. Lett. B 365 (1996) pp. 141-148 + figs.
hep-ph/9504280
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Résumé:
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Severe constraints on parameters of the minimal supersymmetric standard model follow from a dynamical electroweak symmetry breaking mechanism dominated by top and stop loops. In particular, the lightest Higgs boson mass is expected to be smaller than 100 GeV.
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UCL-IPT-95-04 : ( ps.gz)
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Auteurs:
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T. Gannon, Philippe Ruelle, M.A. Walton
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Titre:
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Automorphism modular invariants of current algebras
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Références:
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Commun. Math. Phys. 179 (1996) 121-156
hep-th 9503141
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Résumé:
|
We consider those two-dimensional rational conformal field theories (RCFTs) whose chiral algebras, when maximally extended, are isomorphic to the current algebra formed from some affine non-twisted Kac--Moody algebra at fixed level. In this case the partition function is specified by an automorphism of the fusion ring and corresponding symmetry of the Kac--Peterson modular matrices. We classify all such partition functions when the underlying finite-dimensional Lie algebra is simple. This gives all possible spectra for this class of RCFTs. While accomplishing this, we also find the primary fields with second smallest quantum dimension.
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UCL-IPT-95-03 : ( ps.gz)
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Auteurs:
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Jean-Pierre Antoine, R. Murenzi
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Titre:
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Two-dimensional directional wavelets and the scale-angle representation
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Références:
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Signal Processing 52 (1996) 259-281
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Résumé:
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The two-dimensional continuous wavelet transform (CWT), derived from a square integrable representation of the similitude group of $R^2$, is characterized by a rotation parameter, in addition to the usual translations and dilations. This enables it to detect edges and directions in images, provided a directional wavelet is used. First we review the general properties of the 2D CWT and describe several classes of wavelets, including the directional ones. Then we turn to the problem of wavelet calibration. We show, in particular, how the reproducing kernel may be used for defining and evaluating the scale and angle resolving power of a wavelet. Finally we illustrate the usefulness of the scale-angle representation of the CWT on the problem of disentangling a train of damped plane waves.
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UCL-IPT-95-01 : ( ps.gz)
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Auteurs:
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Jean Bricmont, A. Kupiainen, J. Xin
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Titre:
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Global large time self-similarity of a thermal-diffusive combustion system with critical nonlinearity
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Références:
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J. of Differential Equations 130 (1996) 9-35
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Résumé:
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We study the initial value problem of the thermal-diffusive combustion system: $u_{1,t} = u_{1,x,x} - u_1 u^2_2, u_{2,t} = d u_{2,xx} + u_1 u^2_2, x \in R^1$, for non-negative spatially decaying initial data of arbitrary size and for any positive constant $d$. We show that if the initial data decays to zero sufficiently fast at infinity, then the solution $(u_1,u_2)$ converges to a self-similar solution of the reduced system: $u_{1,t} = u_{1,xx} - u_1 u^2_2, u_{2,t} = d u_{2,xx}$, in the large time limit. In particular, $u_1$ decays to zero like ${\cal O}(t^{-\frac{1}{2}-\delta})$, where $\delta > 0$ is an anomalous exponent depending on the initial data, and $u_2$ decays to zero with normal rate ${\cal O}(t^{-\frac{1}{2}})$. The idea of the proof is to combine the a priori estimates for the decay of global solutions with the renormalization group (RG) method for establishing the self-similarity of the solutions in the large time limit.
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UCL-IPT-93-08 : ( ps.gz)
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Auteurs:
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Jean Bricmont, A. Kupiainen
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Titre:
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Stable non-Gaussian diffusive profiles
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Références:
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NonlinearAnalysis: Theory, Methods and Applications 26 (1996) 583-593
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Résumé:
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We prove two stability results for the scale invariant solutions
of the nonlinear heat equation $\partial_t u=\Delta u - |u|^{p-1}u$
with $1
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