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| A Nekhoroshev Type Theorem for the Nonlinear Wave Equation in Gevrey Space |
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Citation： |
Chunyong LIU,Huayong LIU,Rong ZHAO.A Nekhoroshev Type Theorem for the Nonlinear Wave Equation in Gevrey Space[J].Chinese Annals of Mathematics B,2019,40(3):389~410 |
| Page view： 873
Net amount： 1074 |
Authors： |
Chunyong LIU; Huayong LIU;Rong ZHAO |
Foundation： |
This work was supported by the National Natural Science
Foundation of China (No.11671066) and the Fundamental Research
Funds for the Central Universities (No.DUT15LK05). |
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| 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\in[0,\pi]
\end{align*}
in Gevrey space. |
Keywords： |
Gevrey space, Nonlinear wave equation, Normal form, Stability |
Classification： |
35B40, 35Q55, 37K55 |
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