Abstract
We present recent developments in the theory of quasi-periodic solutions to nonlinear PDEs, such as the nonlinear Schrödinger and the nonlinear Klein-Gordon equations. These solutions hold in arbitrary dimensions, and the quasi-periodicity can be either in time or space. The method hinges on multi-scale analysis, harmonic analysis and algebraic analysis.
Information
Published: 1 January 2020
First available in Project Euclid: 29 December 2020
Digital Object Identifier: 10.2969/aspm/08510463
Subjects:
Primary:
35M20
,
42A16
Keywords:
Newton iteration
,
quasi-periodic solutions
,
semi-algebraic geometry
Rights: Copyright © 2020 Mathematical Society of Japan
