S-polar sets of super-Brownian motions and solutions of nonlinear differential equations

被引：0
|
作者：
LI Qiuyue & REN Yanxia LMAM
机构：
来源：
Science China Mathematics | 2005年 / 12期
关键词：
super-Brownian motion; nonlinear differential equation; minimal positive solutions; maximal positive solutions; S-polar sets;
D O I：
暂无
中图分类号：
O175.2 [偏微分方程];
学科分类号：
070104 ;
摘要：
This paper gives probabilistic expressions of the minimal and maximal positive solutions of the partial differential equation -1/2△v(x) + γ(x)v(x)α = 0 in D, where D is a regular domain in Rd(d ≥ 3) such that its complement Dc is compact, γ(x) is a positive bounded integrable function in D, and 1 < α≤ 2. As an application, some necessary and sufficient conditions for a compact set to be S-polar are presented.
引用
收藏
页码：1683 / 1695
页数：13
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