A Proof for the Mode Stability of a Self-similar Wave Map
  We study the fundamental self-similar solution to the SU(2) sigma model, found by Shatah and Turok-Spergel. We give a rigorous proof for its mode stability. Based on earlier results by the second author, the present paper constitutes the last building block for a completely rigorous proof of the nonlinear stability of the Shatah-Turok-Spergel wave map. 
Ovidiu Costin, Roland Donninger, Xiaoyue Xia
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