Spectral Properties And Linear Stability Of Self-Similar Wave Maps

We study co-rotational wave maps from (3 + 1)-Minkowski space to the three-sphere S-3. It is known that there exists a countable family {f(n)} of self-similar solutions. We investigate their stability under linear perturbations by operator theoretic methods. To this end we study the spectra of the perturbation operators, prove well-posedness of the corresponding linear Cauchy problem and deduce a growth estimate for solutions. Finally, we study perturbations of the limiting solution which is obtained from f(n) by letting n -> infinity.


Published in:
Journal Of Hyperbolic Differential Equations, 6, 359-370
Year:
2009
Keywords:
Laboratories:




 Record created 2011-05-23, last modified 2018-09-13


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