Eigenvalues oF The Laplace Operator With The Neumann Conditions At Regular Perturbed Walls oF A Waveguide

被引：0

作者：

Nazarov S.A. ^{[1
]}

机构：

[1] Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, St. Petersburg 199178, 61, Bolshoi pr. V.O.

来源：

Journal of Mathematical Sciences | 2011年 / 172卷 / 4期

基金：

俄罗斯基础研究基金会;

关键词：

Continuous Spectrum; Spectral Parameter; Discrete Spectrum; Helmholtz Equation; Integral Identity;

D O I：

10.1007/s10958-011-0206-0

中图分类号：

学科分类号：

摘要：

It is shown that, under an appropriate choice of local smooth perturbations of the strip sides of an acoustic waveguide with rigid walls, it is possible to form an eigenvalue disseminated into the continuous spectrum near any given inner threshold. The eigenvalue is looked for by asymptotic analysis of some auxiliary object, the augmented scattering matrix that serves as an identifier of trapped waves. Bibliography: 38 titles. Illustrations: 2 Figures. © 2011 Springer Science+Business Media, Inc.

引用

页码：555 / 588

页数：33

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