Summability and existence results for nonlinear parabolic equations

被引：19

作者：

Boccardo, Lucio ^{[1
]}

Porzio, Maria Michaela ^{[1
]}

Primo, Ana ^{[2
]}

机构：

[1] Univ Rome 1, Dipartimento Matemat, I-00185 Rome, Italy

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2009年 / 71卷 / 3-4期

关键词：

Nonlinear parabolic equations; Regularity of the solutions;

D O I：

10.1016/j.na.2008.11.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the summability of the solutions and of their gradients for a class of nonlinear parabolic equations. We show how it is related to the summability of the datum f which belongs to L-r(0, T; L-q (Omega)), r is an element of [1, + infinity], q is an element of [1, + infinity]. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：978 / 990

页数：13

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