On approximation of the Dirichlet problem for divergence form operators by Robin problems

被引：0

作者：

Rozkosz, Andrzej ^{[1
]}

Slominski, Leszek ^{[1
]}

机构：

[1] Nicolaus Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

来源：

ARCHIV DER MATHEMATIK | 2023年 / 121卷 / 04期

关键词：

Robin problem; Dirichlet problem; Divergence form operator; Stochastic representation; Reflected diffusion; REFLECTING DIFFUSIONS; LIPSCHITZ-DOMAINS; CONSTRUCTION; EQUATIONS; HOLDER;

D O I：

10.1007/s00013-023-01913-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that, under natural assumptions, solutions of Dirichlet problems for uniformly elliptic divergence form operators can be approximated pointwise by solutions of some versions of Robin problems. The proof is based on the stochastic representation of solutions and properties of reflected diffusions corresponding to divergence form operators.

引用

页码：407 / 417

页数：11

共 15 条

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