Journal
NONLINEARITY
Volume 29, Issue 8, Pages 2451-2473Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0951-7715/29/8/2451
Keywords
wave maps; self-similar solution; nonself-adjoint spectral theory
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Funding
- NSF grant [DMS 1108794]
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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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