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The Existence of Full-Dimensional KAM tori for one-dimensional nonlinear Klein-Gordon equation

Published 10 May 2025 in math.DS and math.AP | (2505.06526v1)

Abstract: In this paper, we investigate the almost-periodic solutions for the one-dimensional nonlinear Klein-Gordon equation within the non-relativistic limit under periodic boundary conditions. Specifically, by employing the method introduced in \cite{Bourgain2005JFA}, we establish the existence and linear stability of full-dimensional tori with subexponential decay for the equation.

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