On the mode stability of a self-similar wave map

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We study linear perturbations of a self-similar wave map from Minkowski space to the three-sphere which is conjectured to be linearly stable. Considering analytic mode solutions of the evolution equation for the perturbations we prove that there are no real unstable eigenvalues apart from the well-known gauge instability.
Accepted for publication in J. Math. Phys., some changes to match the published version

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Mathematical Physics, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/206702

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math-ph/0702025
 http://arxiv.org/abs/math-ph/0702025
 J.Math.Phys.49:043515,2008
 doi:10.1063/1.2908159

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