A codimension two stable manifold of near soliton equivariant wave maps

Details A codimension two stable manifold of near soliton equivariant wave maps A codimension two stable manifold of near soliton equivariant wave maps

2011-09-14

arxiv.org/abs/1109.3129v1

Mathematics

Analysis of PDEs

Scientific paper

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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