Capacitary representation of positive solutions of sernilinear parabolic equations

被引：2

作者：

Marcus, M ^{[1
]}

Véron, L

机构：

[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel

[2] Fac Sci, Math Lab, F-37200 Tours, France

来源：

COMPTES RENDUS MATHEMATIQUE | 2006年 / 342卷 / 09期

关键词：

D O I：

10.1016/j.crma.2006.02.033

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a global bilateral estimate on the maximal solution u(F) of at delta(t)u - Delta u + u(q) = 0 in R-N x (0, infinity), q > 1, N >= 1. which vanishes at t = 0 on the complement of a closed subset F subset of R-N. This estimate is expressed by a Wiener test involving the Bessel capacity C-2/q/q'. We deduce from this estimate that u(F) is sigma-moderate in Dynkin's sense.

引用

页码：655 / 660

页数：6

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