Doubly Feller Property of Brownian Motions with Robin Boundary Condition

被引：3

作者：

Matsuura, Kouhei ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Aoba Ku, Sendai, Miyagi 9808578, Japan

来源：

POTENTIAL ANALYSIS | 2020年 / 53卷 / 01期

关键词：

Boundary local time; Dirichlet form; Extension domain; Robin boundary condition; REFLECTING DIFFUSIONS; LIPSCHITZ-DOMAINS; CONSTRUCTION; HOLDER;

D O I：

10.1007/s11118-018-09758-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider first order Sobolev spaces with Robin boundary condition on unbounded Lipschitz domains. Hunt processes are associated with these spaces. We prove that the semigroup of these processes are doubly Feller. As a corollary, we provide a condition for semigroups generated by these processes being compact.

引用

页码：23 / 53

页数：31

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