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arXiv · 0811.1908

Nonlinear stability of self-similar solutions for semilinear wave equations

Roland Donninger
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Abstract

We prove nonlinear stability of the fundamental self--similar solution of the wave equation with a focusing power nonlinearity $ψ_{tt}-Δψ=ψ^p$ 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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Roland Donninger. 2009-12-08. Nonlinear stability of self-similar solutions for semilinear wave equations. https://doi.org/10.1080/03605300903575857

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