A codimension two stable manifold of near soliton equivariant wave maps

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.


Published in:
Analysis & PDE, 6, 4, 829-857
Year:
2013
Publisher:
Berkeley, Mathematical Science Publ
Keywords:
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 Record created 2012-04-05, last modified 2018-03-13

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