Nonlinear Stability of Self-Similar Solutions for Semilinear Wave Equations

Roland Donninger
2010
Article

Résumé

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.

Source officielle

https://infoscience.epfl.ch/record/166012?ln=fr

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