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A
codimension-two stable manifold of near soliton equivariant
wave maps
Ioan Bejenaru, Joachim Krieger and Daniel Tataru |
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Vol. 6 (2013), No. 4, 829–857
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Abstract |
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We consider finite-energy equivariant solutions for the wave map problem from to 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
wave map, behavior near soliton, orbital stability
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Mathematical Subject Classification 2010
Primary: 35L05, 35P25, 35Q75
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Milestones
Received: 27 September 2011
Revised: 27 August 2012
Accepted: 27 September 2012
Published: 21 August 2013
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Authors |
| Ioan Bejenaru | |
| Department of Mathematics University of California at San Diego 9500 Gilman Dr. La Jolla 92093-011 United States |
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| Joachim Krieger | |
| Batiment des Mathématiques École Polytechnique F’ed’erale de Lausanne Station 8 CH-1015 Lausanne France |
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| Daniel Tataru | |
| Department of Mathematics University of California at Berkeley Evans Hall Berkeley, CA 94720 United States |
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