A codimension two stable manifold of near soliton equivariant wave maps

2011/09/14 by Ioan Bejenaru, Bejenaru, Ioan, Joachim Krieger +3
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #math.AP

paper · pdf · doi:10.48550/arxiv.1109.3129

arxiv created 2011/09/14 · openalex publication_date 2011/09/14 · arxiv updated 2011/09/15 · openalex created_date 2022/10/04 · openalex updated_date 2026/07/28

Abstract

We consider finite energy equivariant solutions for the wave map problem from R2+1 to S2 which are close to the soliton family. We prove asymptotic orbital stability for a codimension two class of initial data which is small with respect to a stronger topology than the energy.

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