Strongly nonlinear parabolic equations with natural growth terms in Orlicz spaces

被引：45

作者：

Elmahi, A

Meskine, D

机构：

[1] CPR, Fes, Morocco

[2] Fac Sci Dhar Mahraz, Dept Math & Informat, Fes, Morocco

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2005年 / 60卷 / 01期

关键词：

inhomogeneous Orlicz-Sobolev spaces; parabolic problems; compactness;

D O I：

10.1016/j.na.2004.08.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove approximation and compactness results in inhomogeneous Orlicz-Sobolev spaces and look at, as an application, the Cauchy-Dirichlet equation u' + A(u) + g(x, t, u, delU) = f is an element of W--1,W- x E-M, where A is a Leray-Lions operator having a growth not necessarily of polynomial type. We also give a trace result allowing to deduce the continuity of the solutions with respect to time. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：1 / 35

页数：35

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