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 ChinaXiaoping 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](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-aihpc-volume-38-issue-3.png&w=3840&q=90)
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