Singular boundary perturbations for trapped waves

被引：0

作者：

Zhevandrov, P ^{[1
]}

机构：

[1] Univ Michoacana, Inst Phys & Math, Morelia 58060, Michoacan, Mexico

来源：

FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION | 2000年

关键词：

D O I：

暂无

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

By means of two examples arising from the theory of trapped waves (=bound states) we show that in contrast to a small perturbation of a regular boundary point, a small displacement of a singular boundary is singular in the sense that the expansions of the perturbed eigenvalues contain not only the integer powers of the small parameter involved, but also powers of the logarithm of this parameter.

引用

页码：597 / 601

页数：5

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