Blowup behavior of strongly perturbed wave equations

David Wallauch; Roland Donninger

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Blowup behavior of strongly perturbed wave equations

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arxiv 2006.04600 v1 pith:GTTL3TYI submitted 2020-06-08 math.AP math-phmath.MP

Blowup behavior of strongly perturbed wave equations

Roland Donninger , David Wallauch This is my paper

classification math.AP math-phmath.MP

keywords blowupequationswavebehaviorclassperturbedstablestrongly

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We study the blowup behavior of a class of strongly perturbed wave equations with a focusing supercritical power nonlinearity in three spatial dimensions. We show that the ODE blowup profile of the unperturbed equation still describes the asymptotics of stable blowup. As a consequence, stable ODE-type blowup is seen to be a universal phenomenon that exists in a large class of semilinear wave equations.

Blowup behavior of strongly perturbed wave equations

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