A Proof for the Mode Stability of a Self-similar Wave Map
Analysis of PDEs
2014-12-19 v3 Mathematical Physics
Classical Analysis and ODEs
math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1411.2947,
title = {A Proof for the Mode Stability of a Self-similar Wave Map},
author = {Ovidiu Costin and Roland Donninger and Xiaoyue Xia},
journal= {arXiv preprint arXiv:1411.2947},
year = {2014}
}