JournalsaihpcVol. 38, No. 3pp. 759–786

The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation

  • Hongzi Cong

    School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, PR China

  • Xiaoping Yuan

    School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China
The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation cover

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Abstract

In this paper we prove the existence and linear stability of full dimensional tori with subexponential decay for 1-dimensional nonlinear wave equation with external parameters, which relies on the method of KAM theory and the idea proposed by Bourgain [9].

Cite this article

Hongzi Cong, Xiaoping Yuan, The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. Ann. Inst. H. Poincaré Anal. Non Linéaire 38 (2021), no. 3, pp. 759–786

DOI 10.1016/J.ANIHPC.2020.09.006