Soliton resolution for equivariant wave maps to the sphere

2013/05/23 by Côte, Raphaël
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1305.5325

Abstract

We consider finite energy corotationnal wave maps with target manifold \m S². We prove that for a sequence of times, they decompose as a sum of decoupled harmonic maps in the light cone, and a smooth wave map (in the blow case) or a linear scattering term (in the global case), up to an error which tends to 0 in the energy space.

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