Applications of the maximum principle to a variety of problems involving elliptic and parabolic equations

被引：9

作者：

Philippin, GA ^{[1
]}

Vernier-Piro, S

机构：

[1] Univ Laval, Dept Math & Stat, Quebec City, PQ G1K 7P4, Canada

[2] Univ Cagliari, Dipartimento Matemat, I-09123 Cagliari, Italy

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 01期

关键词：

maximum principle; elliptic initial-boundary value problem; parabolic initial-boundary value problem;

D O I：

10.1016/S0362-546X(01)00210-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We give a review of some applications of best possible maximum principles to elliptic and parabolic problems, Moreover, we construct new upper bounds for solutions of a class of parabolic problems in terms of the stress function.

引用

页码：661 / 679

页数：19

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