The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation
Cong, Hongzi1 ; Yuan, Xiaoping2
1 a School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, PR China
2 b School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China
Annales de l'I.H.P. Analyse non linéaire, mai – juin 2021, Tome 38 (2021) no. 3, pp. 759-786.
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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].

Reçu le :
Révisé le :
Accepté le :
DOI : 10.1016/j.anihpc.2020.09.006
Mots-clés : KAM theory, Almost periodic solution, Nonlinear wave equation, Gevrey space
Cong, Hongzi 1 ; Yuan, Xiaoping 2

1 a School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, PR China
2 b School of Mathematical Sciences, Fudan University, Shanghai 200433, PR China 
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Cong, Hongzi; Yuan, Xiaoping. The existence of full dimensional invariant tori for 1-dimensional nonlinear wave equation. Annales de l'I.H.P. Analyse non linéaire, mai – juin 2021, Tome 38 (2021) no. 3, pp. 759-786. doi : 10.1016/j.anihpc.2020.09.006. http://www.numdam.org/articles/10.1016/j.anihpc.2020.09.006/

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