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arXiv · 2101.03248

Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation

Tristan Roy
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Abstract

We prove global existence of solutions of a loglog energy-supercritical Klein-Gordon equation for n=3,4,5. Assuming that blow-up occurs at a time of maximal existence, we perform an analysis close to this time in order to find a finite bound of a Strichartz-type norm, which eventually leads to a contraction with the blow-up assumption.

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Tristan Roy. 2021-01-08. Global existence of solutions of a loglog energy-supercritical Klein-Gordon equation. https://arxiv.org/abs/2101.03248

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