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

Mohamed-Ali Hamza; Hatem Zaag

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arXiv · 1301.0473

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

Mohamed-Ali Hamza·Hatem Zaag

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Abstract

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.

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Mohamed-Ali Hamza, Hatem Zaag. 2013-01-03. Blow-up results for semilinear wave equations in the super-conformal case. https://arxiv.org/abs/1301.0473

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