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Blow-up results for semilinear wave equations in the super-conformal case

We consider the semilinear wave equation in higher dimensions with power nonlinearity in the super-conformal range, and its perturbations with lower order terms, including the Klein-Gordon equation. We improve the upper bounds on blow-up solutions previously obtained by Killip, Stovall and Vişan [6]. Our proof uses the similarity variables' setting. We consider the equation in that setting as a perturbation of the conformal case, and we handle the extra terms thanks to the ideas we already developed in [5] for perturbations of the pure power case with lower order terms.

preprint2013arXivOpen access
Mohamed-Ali HamzaHatem Zaag
math.AP
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Open access2 authors1 topic
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Mohamed-Ali HamzaHatem Zaag

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