On the mode stability of a self-similar wave map

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.


Published in:
Journal of Mathematical Physics, 49
Year:
2008
Publisher:
American Institute of Physics
ISSN:
0022-2488
Laboratories:




 Record created 2011-05-23, last modified 2018-10-07

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