Eigenvalues of the negative Laplacian for simply connected bounded domains

被引：0
|
作者：
E. M. E. Zayed
机构：
[1] Zagazig University,Mathematics Department, Faculty of Science
来源：
Acta Mathematica Sinica | 1997年 / 13卷 / 3期
关键词：
Inverse problem; Arbitrary bounded domains; Negative Laplacian; Eigenvalues; Spectral function; 35K; 35P; O175.2;
D O I：
10.1007/BF02560014
中图分类号：
学科分类号：
摘要：
This paper is devoted to asymptotic formulae for functions related with the spectrum of the negative Laplacian in two and three dimensional bounded simply connected domains with impedance boundary conditions, where the impedances are assumed to be discontinuous functions. Moreover, asymptotic expressions for the difference of eigenvalues related to the impedance problems with different impedances are derived. Further results may be obtained.
引用
收藏
页码：337 / 346
页数：9
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