On the spatial decay of solutions to a quasi-linear parabolic initial-boundary value problem and their derivatives

被引：8

作者：

Payne, LE

Philippin, GA

机构：

[1] Cornell Univ, Dept Math, Ithaca, NY 14853 USA

[2] Univ Laval, Dept Math, Laval, PQ G1K 7P4, Canada

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2000年 / 32卷 / 02期

关键词：

parabolic equations; decay bounds; maximum principle;

D O I：

10.1137/S0036141099356519

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the spatial decay of the solution of a quasi-linear heat equation in a long cylindrical region if the far end and the lateral surface are held at a zero temperature and a nonzero temperature is applied at the near end. Our result follows from the maximum principle applied to an auxiliary function Phi defined on the solution u and its derivatives.

引用

页码：291 / 303

页数：13

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