English

A codimension two stable manifold of near soliton equivariant wave maps

Analysis of PDEs 2011-09-15 v1

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.

Keywords

Cite

@article{arxiv.1109.3129,
  title  = {A codimension two stable manifold of near soliton equivariant wave maps},
  author = {Ioan Bejenaru and Joachim Krieger and Daniel Tataru},
  journal= {arXiv preprint arXiv:1109.3129},
  year   = {2011}
}