On the limiting amplitude principle for the exterior problem of the wave equation
On the limiting amplitude principle for the exterior problem of the wave equation
批准号:
22654017
负责人:
KUBO Hideo
金额:
$0.88万
依托单位:
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
项目状态:
已结题
起止时间:
2010 至 2011
中文摘要
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英文摘要
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.
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DOI:
10.1007/978-3-0348-0454-7_10
发表时间:
2012
期刊:
影响因子:
--
作者:
[H. Kubo]
通讯作者:
H. Kubo
On the exterior problem for nonlinear wave equations
关于非线性波动方程的外问题
DOI:
--
发表时间:
2014
期刊:
影响因子:
--
作者:
[Yusaku Hamada, Takashi Okaji and Yoshitsugu Takei, Ken'ichi Ohshika, H. Kubo]
通讯作者:
H. Kubo
DOI:
--
发表时间:
2010
期刊:
Rendiconti dell' Istituto di Matematica dell' Universita di Trieste
影响因子:
--
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
DOI:
--
发表时间:
2010
期刊:
影响因子:
--
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
DOI:
--
发表时间:
2010
期刊:
Funkcial. Ekvac.
影响因子:
--
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
共 8 条
On the asymptotic behavior of solution to systems of nonlinear wave equations of long range type
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批准号:17540157
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项目类别:Grant-in-Aid for Scientific Research (C)
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资助金额:$2.3万
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财政年份:2005
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负责人:KUBO Hideo
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依托单位: