A codimension two stable manifold of near soliton equivariant wave maps

Daniel Tataru; Ioan Bejenaru; Joachim Krieger

arxiv: 1109.3129 · v1 · pith:J6XPEZNFnew · submitted 2011-09-14 · 🧮 math.AP

A codimension two stable manifold of near soliton equivariant wave maps

Ioan Bejenaru , Joachim Krieger , Daniel Tataru This is my paper

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keywords codimensionenergyequivariantsolitonwaveasymptoticclassclose

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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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A codimension two stable manifold of near soliton equivariant wave maps

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