On the limiting amplitude principle for the exterior problem of the wave equation

波动方程外问题的极限振幅原理

• 批准号: 22654017
• 负责人: KUBO Hideo
• 金额: $ 0.88万
• 依托单位: Tohoku University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Challenging Exploratory Research
• 财政年份: 2010
• 资助国家: 日本
• 起止时间: 2010 至 2011
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-22654017/
• 关键词: 波動方程式; 極限振幅の原理; 外部問題

Large time behavior of solutions to the exterior problem whose boundary value is oscillating in time is considered. It can be expressed as a product of a time periodic function with the same period as the boundary value and the resonance of the correspo nding Helmholtz equation. For the radially symmetric case, the existence of the resonance is actually proved. In conclusion, the limiting amplitude principle for the exterior problem of the wave equation with a periodic boundary value was formulated.

研究了边值随时间振荡的外问题解的大时间行为。它可以表示为与边值周期相同的时间周期函数与相应亥姆霍兹方程的共振的乘积。对于径向对称情况，实际证明了共振的存在性。最后，给出了具有周期边值的波动方程外问题的极限振幅原理。

项目成果

Lower Bounds for the Lifespan of Solutions to Nonlinear Wave Equations in Elasticity

• DOI: 10.1007/978-3-0348-0454-7_10
• 发表时间: 2012
• 作者: H. Kubo

On the exterior problem for nonlinear wave equations

关于非线性波动方程的外问题

• 发表时间: 2014
• 作者: Yusaku Hamada;Takashi Okaji and Yoshitsugu Takei;Ken'ichi Ohshika;H. Kubo
• 通讯作者: H. Kubo

A remark on long range effect for a system of semilinear wave equation

半线性波动方程组长程效应的评述

• 发表时间: 2010
• 期刊: Rendiconti dell' Istituto di Matematica dell' Universita di Trieste
• 作者: S.Sato;E.Yanagida;E. Yanagida;柳田英二;E. Yanagida;E. Yanagida;E. Yanagida;柳田英二;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E.Yanagida;E. Yanagida;E. Yanagida;金井雅彦;金井雅彦;金井雅彦;金井雅彦;金井雅彦;H. Kubo and K. Kubota;Hideo Kubo;S. Katayama and H. Kubo;H. Kubo and M. Takaki
• 通讯作者: H. Kubo and M. Takaki

On the asymptotic behavior for elastic waves

弹性波的渐近行为

• 发表时间: 2010
• 作者: T. Aiki;A. Muntean;R.Kajikiya;下村哲;山田澄生;久保英夫
• 通讯作者: 久保英夫

The rate of convergence to the asymptotics for the wave equation in an exterior domain

外部域中波动方程的渐近收敛速度

• 发表时间: 2010
• 期刊: Funkcial. Ekvac.
• 作者: S.Sato;E.Yanagida;E. Yanagida;柳田英二;E. Yanagida;E. Yanagida;E. Yanagida;柳田英二;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E. Yanagida;E.Yanagida;E. Yanagida;E. Yanagida;金井雅彦;金井雅彦;金井雅彦;金井雅彦;金井雅彦;H. Kubo and K. Kubota;Hideo Kubo;S. Katayama and H. Kubo
• 通讯作者: S. Katayama and H. Kubo