Home > Articles > Published articles > Anisotropic parabolic equations with variable nonlinearity |
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 |
45 p, 316.1 KB |