Quasi-periodic solutions for nonlinear wave equations (announcement)
Analysis of PDEs
2015-07-13 v2
Abstract
We construct time quasi-periodic solutions to nonlinear wave equations on the torus in arbitrary dimensions. All previously known results (in the case of zero or a multiplicative potential) seem to be limited to the circle. This generalizes the method developed in the limit-elliptic setting of NLS to the hyperbolic setting. The additional ingredient is a Diophantine property of algebraic numbers.
Cite
@article{arxiv.1102.1248,
title = {Quasi-periodic solutions for nonlinear wave equations (announcement)},
author = {Wei-Min Wang},
journal= {arXiv preprint arXiv:1102.1248},
year = {2015}
}
Comments
Completely different from the initial, 2011 version