Anisotropic parabolic equations with variable nonlinearity
Antontsev, S. (Universidade de Lisboa. Centro de Matemática e Aplicacôes Fundamentais (CMAF))
Shmarev, S. (Universidad de Oviedo. Departamento de Matemáticas)

Date:	2009
Abstract:	We study the Dirichlet problem for a class of nonlinear parabolic equations with nonstandard anisotropic growth conditions. Equations of this class generalize the evolutional p(x, t)-Laplacian. We prove theorems of existence and uniqueness of weak solutions in suitable Orlicz-Sobolev spaces, derive global and local in time L∞ bounds for the weak solutions.
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió publicada
Subject:	Nonlinear parabolic equation ; Nonstandard growth conditions ; Anisotropic nonlinearity
Published in:	Publicacions matemàtiques, V. 53 n. 2 (2009) p. 355-399, ISSN 2014-4350

Adreça alternativa: https://raco.cat/index.php/PublicacionsMatematiques/article/view/140682
DOI: 10.5565/PUBLMAT_53209_04

45 p, 316.1 KB

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