Eigenvalues of the Negative Laplacian for Simply Connected Bounded Domains

作     者：E.M.E.Zayed (Mathematics Department,Faculty of Science,Zagazig University,Zagazig,Egypt) 

作者机构：Mathematics Department Faculty of Science Zagazig University Zagazig Egypt 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：1997年第13卷第3期

页      面：337-346页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Inverse problem Arbitrary bounded domains Negative Laplacian Eigenvalues Spectral function 

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 *** results may be obtained.