奇摄动区域波动方程散射算子的渐近性

IF 0.8 4区数学 Q2 MATHEMATICS

Sbornik Mathematics 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。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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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来源期刊

Sbornik Mathematics 数学-数学

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

6-12 weeks

期刊介绍： The Russian original is rigorously refereed in Russia and the translations are carefully scrutinised and edited by the London Mathematical Society. The journal has always maintained the highest scientific level in a wide area of mathematics with special attention to current developments in: Mathematical analysis Ordinary differential equations Partial differential equations Mathematical physics Geometry Algebra Functional analysis