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

2016/01/09 by Duyckaerts, Thomas, Kenig, Carlos, Merle, Frank · 2 citations
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1601.02107

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.

Cited by

• Dynamics of 3D focusing, energy-critical wave equation with radial data
• Classification of radial solutions of energy-critical wave systems

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