一维复值非线性Klein-Gordon方程解的渐近时间性质

IF 0.6 4区数学 Q3 MATHEMATICS Hokkaido Mathematical Journal Pub Date : 2021-06-01 DOI:10.14492/hokmj/2018-938

J. Segata

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引用次数: 1

摘要

我们考虑了“复值”三次非线性Klein-Gordon方程（NLKG）初值问题解在一维空间中的长时间行为。在[12]中，Sunagawa导出了（NLKG）解的$L^｛\infty｝$衰变估计。在本文中，我们得到了（NLKG）解的大时间渐近轮廓。

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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Asymptotic behavior in time of solutions to complex-valued nonlinear Klein-Gordon equation in one space dimension

We consider the long time behavior of solutions to the initial value problem for the ``complex-valued'' cubic nonlinear Klein-Gordon equation (NLKG) in one space dimension. In [12], Sunagawa derived the $L^{\infty}$ decay estimate of solutions to (NLKG). In this note, we obtain the large time asymptotic profile of solutions to (NLKG).

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来源期刊

Hokkaido Mathematical Journal MATHEMATICS-

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The main purpose of Hokkaido Mathematical Journal is to promote research activities in pure and applied mathematics by publishing original research papers. Selection for publication is on the basis of reports from specialist referees commissioned by the editors.