On the mode stability of a self-similar wave map

Details On the mode stability of a self-similar wave map On the mode stability of a self-similar wave map

2007-02-08

arxiv.org/abs/math-ph/0702025v2

J.Math.Phys.49:043515,2008

Physics

Mathematical Physics

Accepted for publication in J. Math. Phys., some changes to match the published version

Scientific paper

10.1063/1.2908159

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.

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