The Helmholtz equation in a non-smooth inclusion

被引：0
|
作者：
Yan, Guozheng [1 ]
机构：
[1] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 09期
关键词：
Inclusion; Existence; Uniqueness; Helmholtz equation; Riesz-Fredholm;
D O I：
10.1016/j.na.2007.08.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the Helmholtz equation in a non-smooth inclusion i.e., in a doubly connected bounded domain B in R-2 with boundary partial derivative B that consists of two disjoint closed curves Gamma and Gamma(0). The existence and uniqueness of a solution to the Helmholtz equation for mixed boundary conditions on Gamma are obtained by using Riesz-Fredholm theory. (C) 2007 Elsevier Ltd. All rights reserved.
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页码：2825 / 2832
页数：8
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