A Nekhoroshev Type Theorem for the Nonlinear Wave Equation in Gevrey Space

Abstract

In this paper, the authors prove a Nekhoroshev type theorem for the nonlinear wave equation ${u_{tt}} = {u_{xx}} - mu - f(u),\;\;\;\;\;x \in [0,\pi ]$ in Gevrey space.

Keywords

Gevrey space / Nonlinear wave equation / Normal form / Stability

References

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