Publication

Stable self-similar blow up for energy subcritical wave equations

Roland Donninger
2012
Journal Articles

Abstract

We consider the semilinear wave equation partial derivative(2)(t)psi - Delta psi = vertical bar psi vertical bar(p-1)psi for 1 < p 0 and kappa(p) is a p-dependent constant. We prove that the blow up described by psi(T) is stable against small perturbations in the energy topology. This complements previous results by Merle and Zaag. The method of proof is quite robust and can be applied to other self-similar blow up problems as well, even in the energy supercritical case.

Official source

https://infoscience.epfl.ch/entities/publication/dd69c987-4d49-4c47-b355-1965920eb755

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Stable self-similar blow up for energy subcritical wave equations

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