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

被引：0
作者：
Andrzej Rozkosz
Leszek Słomiński
机构：
[1] Nicolaus Copernicus University,Faculty of Mathematics and Computer Science
来源：
Archiv der Mathematik | 2023年 / 121卷
关键词：
Robin problem; Dirichlet problem; Divergence form operator; Stochastic representation; Reflected diffusion; 35J25; 60H30;
D O I：
暂无
中图分类号：
学科分类号：
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.
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页码：407 / 417
页数：10
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