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On the Soliton Resolution for Equivariant Wave Maps to the Sphere
Authors:Raphaël Côte
Institution:CNRS and école Polytechnique Centre de Mathématiques Laurent Schwartz UMR 7640 Route de Palaiseau, Palaiseau CEDEX, France
Abstract:We consider finite energy corotational wave maps with target manifold urn:x-wiley:00103640:media:cpa21545:cpa21545-math-0001. 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 blowup case) or a linear scattering term (in the global case), up to an error which tends to 0 in the energy space. © 2015 Wiley Periodicals, Inc.
Keywords:
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