Quasi-Periodic Solutions For Nonlinear Klein-Gordon Equations

Abstract

We present a set of time quasi-periodic solutions to a nonlinear Klein-Gordon equation with a decaying nonlinear term on the torus in arbitrary dimensions. This paper generalizes the bifurcation method developed in [W2].

52 pages; minor modifications on version 3; change of title; see also arXiv:2106.00296

Cited by in corpus (4)

• Space Quasi-Periodic Standing Waves for Nonlinear Schrödinger Equations
• Infinite energy quasi-periodic solutions to nonlinear Schrödinger equations on $\mathbb{R}$
• Analytic solutions of nonlinear elliptic equations on rectangular tori
• A separation lemma on sub-lattices