摘要
通过研究超过程及其在有界区域边界上的分布,得到了一个极限定理。作为应用,给出了一类具有无穷边值非线性Dirichlet问题解的概率表示。
A limit theorem for distribution on boundary of a bounded domain of superdiffusions is obtained. As its application, the minimal solution of a class of non-linear Dirichlet's problems with infinite boundary-values is represented through probabilistic method.
出处
《北京师范大学学报(自然科学版)》
CAS
CSCD
1994年第3期285-289,共5页
Journal of Beijing Normal University(Natural Science)
关键词
非线性
狄利克雷问题
概率解
superprocesses
branching characteristic
regular domain
nonlinear Dirichlet's problem