POINTWISE BOUNDS AND SPATIAL DECAY-ESTIMATES IN HEAT-CONDUCTION PROBLEMS

被引：15

作者：

PAYNE, LE ^{[1
]}

PHILIPPIN, GA ^{[1
]}

机构：

[1] UNIV LAVAL,DEPT MATH & STAT,LAVAL,PQ G1K 7P4,CANADA

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 1995年 / 5卷 / 06期

关键词：

D O I：

10.1142/S0218202595000425

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we derive a new maximum principle for the absolute value of the gradient of a solution to the heat equation. We then apply this principle to obtain explicit bounds in the associated Dirichlet problem. Finally we derive explicit pointwise St-Venant type spatial decay estimates for solutions of certain initial-boundary value problems and their gradients in the case of unbounded domains.

引用

页码：755 / 775

页数：21

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