奇摄动区域波动方程散射算子的渐近性

Pub Date : 2021-01-01 DOI:10.1070/SM9462

D. Korikov

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引用次数: 0

摘要

考虑了无界区域波动方程的一类Cauchy-Dirichlet问题(这里是一个小参数);每个域对应一个散射算子。0美元吗?>的边界是光滑的，而极限域的边界包含一个圆锥点。确定了a的渐近性。参考书目:11篇。

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Asymptotics of the scattering operator for the wave equation in a singularly perturbed domain

A family of Cauchy-Dirichlet problems for the wave equations in unbounded domains is considered (here is a small parameter); a scattering operator is associated with each domain . For 0$?> the boundaries of the are smooth, while the boundary of the limit domain contains a conical point. The asymptotics of as is determined. Bibliography: 11 titles.

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