The transmission problem in domains with a corner point for the Laplace operator in weighted Holder spaces

被引：7

作者：

Bazaliy, Borys V. ^{[1
]}

Vasylyeva, Nataliya ^{[1
]}

机构：

[1] NAS Ukraine, Inst Appl Math & Mech, UA-83114 Donetsk, Ukraine

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2010年 / 249卷 / 10期

关键词：

Elliptic equations; Transmission problem; Weighted Holder spaces; Nonsmooth domains; BOUNDARY-VALUE-PROBLEMS; REGULARITY; EQUATIONS;

D O I：

10.1016/j.jde.2010.06.003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the existence and uniqueness of a solution to the elliptic transmission problem in nonsmooth domains in the weighted Holder space. The coercive estimates of the solution are given. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：2476 / 2499

页数：24

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