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arXiv · 1411.2947

A Proof for the Mode Stability of a Self-similar Wave Map

Ovidiu Costin·Roland Donninger·Xiaoyue Xia
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Abstract

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.

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Ovidiu Costin, Roland Donninger, Xiaoyue Xia. 2014-11-11. A Proof for the Mode Stability of a Self-similar Wave Map. https://arxiv.org/abs/1411.2947

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