Soliton resolution for critical co-rotational wave maps and radial cubic wave equation
Analysis of PDEs
2022-02-23 v1
Abstract
In this paper we prove the soliton resolution conjecture for all times, for all solutions in the energy space, of the co-rotational wave map equation. To our knowledge this is the first such result for all initial data in the energy space for a wave-type equation. We also prove the corresponding results for radial solutions, which remain bounded in the energy norm, of the cubic (energy-critical) nonlinear wave equation in space dimension 4.
Keywords
Cite
@article{arxiv.2103.01293,
title = {Soliton resolution for critical co-rotational wave maps and radial cubic wave equation},
author = {Thomas Duyckaerts and Carlos Kenig and Yvan Martel and Frank Merle},
journal= {arXiv preprint arXiv:2103.01293},
year = {2022}
}