# Nonlinear stability of self-similar solutions for semilinear wave equations

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Published Article
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DOI: 10.1080/03605300903575857
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arXiv
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## Abstract

We prove nonlinear stability of the fundamental self--similar solution of the wave equation with a focusing power nonlinearity $\psi_{tt}-\Delta \psi=\psi^p$ for $p=3,5,7,...$ in the radial case. The proof is based on a semigroup formulation of the wave equation in similarity coordinates.

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