Scattering profile for global solutions of the energy-critical wave equation
Thomas Duyckaerts
Université Paris 13, Sorbonne Paris Cité, Villetaneuse, FranceCarlos E. Kenig
University of Chicago, USAFrank Merle
Université de Cergy-Pontoise, France
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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.
Cite this article
Thomas Duyckaerts, Carlos E. Kenig, Frank Merle, Scattering profile for global solutions of the energy-critical wave equation. J. Eur. Math. Soc. 21 (2019), no. 7, pp. 2117–2162
DOI 10.4171/JEMS/882