A codimension-two stable manifold of near soliton equivariant wave maps
- Author(s): Bejenaru, I
- Krieger, J
- Tataru, D
- et al.
Published Web Locationhttps://doi.org/10.2140/apde.2013.6.829
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. © 2013 Mathematical Sciences Publishers.