A note on local energy decay results for wave equations with a potential

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Asymptotic Analysis Pub Date : 2022-10-17 DOI:10.3233/asy-231835

R. Ikehata

引用次数: 0

Abstract

In this paper, we derive uniform local energy decay results for wave equations with a short-range potential in an exterior domain. In this study, we considered this problem within the framework of non-compactly supported initial data, unlike previously reported studies. The essential parts of analysis are both L 2 -estimates of the solution itself and the weighted energy estimates. Only a multiplier method is used, and we do not rely on any resolvent estimates.

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关于带势波动方程的局部能量衰减结果的注释

在本文中，我们导出了在外域具有短程势的波动方程的一致局域能量衰减结果。在本研究中，我们在非紧支持初始数据的框架内考虑了这个问题，与先前报道的研究不同。分析的关键部分是解决方案本身的l2估计和加权能量估计。仅使用乘数法，我们不依赖于任何解决方案估计。

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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来源期刊

Asymptotic Analysis 数学-应用数学

CiteScore

1.90

自引率

7.10%

发文量

审稿时长

6 months

期刊介绍： The journal Asymptotic Analysis fulfills a twofold function. It aims at publishing original mathematical results in the asymptotic theory of problems affected by the presence of small or large parameters on the one hand, and at giving specific indications of their possible applications to different fields of natural sciences on the other hand. Asymptotic Analysis thus provides mathematicians with a concentrated source of newly acquired information which they may need in the analysis of asymptotic problems.