NEUMANN BOUNDARY VALUE PROBLEMS FOR ELLIPTIC OPERATORS WITH MEASURE-VALUED COEFFICIENTS

被引：0

作者：

Wei, Rong ^{[1
]}

Yang, Saisai ^{[1
]}

Zhang, Tusheng ^{[1
]}

机构：

[1] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Peoples R China

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年 / 151卷 / 07期

基金：

中国国家自然科学基金;

关键词：

Neumann boundary value problem; Kato class measures; additive functional; probabilistic representation; heat kernel estimate; BROWNIAN-MOTION; POTENTIAL-THEORY; EQUATION;

D O I：

10.1090/proc/16126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove that there exists a unique weak solution to the Neumann boundary value problem for second order elliptic operators whose coefficients are signed measures. We will give a probabilistic representation of the solution. The heat kernel estimates and reflected diffusion processes play important roles.

引用

页码：3111 / 3125

页数：15

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