Eigenvalues of the Negative Laplacian for Simply Connected Bounded Domains

被引：0
|
作者：
E.M.E.Zayed (Mathematics Department
机构：
来源：
Acta Mathematica Sinica,English Series | 1997年 / 03期
关键词：
Inverse problem; Arbitrary bounded domains; Negative Laplacian; Eigenvalues; Spectral function;
D O I：
暂无
中图分类号：
O177 [泛函分析];
学科分类号：
070104 ;
摘要：
This paper is devoted to asymptotic formulae for functions related with the spectrumof the negative Laplacian in two and three dimensional bounded simply connected domains withimpedance boundary conditions,where the impedances are assumed to be discontinuous functions.Moreover,asymptotic expressions for the difference of eigenvalues related to the impedance problemswith different impedances are derived.Further results may be obtained.
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页码：337 / 346
页数：10
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