|
|||||
|
|
A Nekhoroshev Type Theorem for the Nonlinear Wave Equation in Gevrey Space |
|
| Authors: | Chunyong LIU Huayong LIU and Rong ZHAO |
| Institution: | School of Mathematical Sciences, Dalian University ofTechnology, Dalian 116024, Liaoning, China; Shangdong ChemicalEngineering Vocational College, Weifang 261108, Shandong, China.,School of Mathematical Sciences, Dalian University ofTechnology, Dalian 116024, Liaoning, China. and Dalian Airforce Communication Non-Commissioned Officer Academy, Dalian 116600, Liaoning, China. |
| Abstract: | In this paper, the authors prove a Nekhoroshev type theorem for the nonlinear wave equation \begin{align*} u_{tt}=u_{xx}-mu-f(u),\quad x\in0,\pi] \end{align*} in Gevrey space. |
| Keywords: | Gevrey space Nonlinear wave equation Normal form Stability |
| 本文献已被 CNKI SpringerLink 等数据库收录！ | |
| 点击此处可从《数学年刊B辑(英文版)》浏览原始摘要信息 | |
| 点击此处可从《数学年刊B辑(英文版)》下载免费的PDF全文 | |