On the decay of the solutions of second order parabolic equations with Dirichlet conditions

被引：0

作者：

Franke, Brice ^{[1
]}

机构：

[1] Ruhr Univ Bochum, Fak Math, D-44780 Bochum, Germany

来源：

MATHEMATISCHE NACHRICHTEN | 2007年 / 280卷 / 08期

关键词：

isoperimetric problem; heat-flow; rearrangement; Dirichlet problem; divergence; sernigroup;

D O I：

10.1002/mana.200410518

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

we use rearrangement techniques to investigate the decay of the parabolic Dirichlet problem in a bounded domain. The coefficients of the second order term are used to introduce an isoperimetric problem. The resulting isoperimetric function together with the divergence of the first order coefficients and the value distribution of the zero order part are then used to construct a symmetric comparison equation having a slower heat-flow than the original equation. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：851 / 865

页数：15

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