半线性波动方程系统能量的不衰减

IF 0.5 4区数学 Q3 MATHEMATICS

Kyoto Journal of Mathematics Pub Date : 2020-11-13 DOI:10.1215/21562261-10428437

Y. Nishii

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引用次数: 1

摘要

我们考虑两个空间维度上三次半线性波动方程组的全局Cauchy问题。根据和初始数据相关的辐射场，我们给出了小振幅解的大时间能量不衰减的判据。

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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Nondecay of the energy for a system of semilinear wave equations

We consider the global Cauchy problem for a two-component system of cubic semilinear wave equations in two space dimensions. We give a criterion for large time non-decay of the energy for small amplitude solutions in terms of the radiation fields associated with the initial data.

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来源期刊

Kyoto Journal of Mathematics MATHEMATICS-

CiteScore

1.10

自引率

16.70%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyoto Journal of Mathematics publishes original research papers at the forefront of pure mathematics, including surveys that contribute to advances in pure mathematics.