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VOL. 85 | 2020 Quasi-periodic solutions to nonlinear PDEs
Wei-Min Wang

Editor(s) Yoshikazu Giga, Nao Hamamuki, Hideo Kubo, Hirotoshi Kuroda, Tohru Ozawa

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

Rights: Copyright © 2020 Mathematical Society of Japan

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