JournalsjemsVol. 21, No. 7pp. 2117–2162

Scattering profile for global solutions of the energy-critical wave equation

  • Thomas Duyckaerts

    Université Paris 13, Sorbonne Paris Cité, Villetaneuse, France
  • Carlos E. Kenig

    University of Chicago, USA
  • Frank Merle

    Université de Cergy-Pontoise, France
Scattering profile for global solutions of the energy-critical wave equation cover

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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