Scattering profile for global solutions of the energy-critical wave equation
Analysis of PDEs
2016-01-12 v1
Abstract
Consider the focusing energy-critical wave equation in space dimension 3, 4 or 5. We prove that any global solution which is bounded in the energy space converges in the exterior of wave cones to a radiation term which is a solution of the linear wave equation.
Keywords
Cite
@article{arxiv.1601.02107,
title = {Scattering profile for global solutions of the energy-critical wave equation},
author = {Thomas Duyckaerts and Carlos Kenig and Frank Merle},
journal= {arXiv preprint arXiv:1601.02107},
year = {2016}
}