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.
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页码：755 / 775
页数：21
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