Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

We prove nonlinear stability of the fundamental self-similar solution of the wave equation with a focusing power nonlinearity tt-=p for [image omitted] in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates.


Published in:
Communications In Partial Differential Equations, 35, 669-684
Year:
2010
Publisher:
Taylor & Francis
ISSN:
0360-5302
Keywords:
Laboratories:




 Record created 2011-05-23, last modified 2018-03-13


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