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arXiv · 1311.7479

The blow-up rate for strongly perturbed semilinear wave equations

Mohamed-Ali Hamza·Omar Saidi
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Abstract

We consider in this paper a large class of perturbed semilinear wave equation with subconformal power nonlinearity. In particular, we allow log perturbations of the main source. We derive a Lyapunov functional in similarity variables and use it to derive the blow-up rate. Throughout this work, we use some techniques developed for the unperturbed case studied by Merle and Zaag [12] together with ideas introduced by Hamza and Zaag in [5] for a class of weather perturbations.

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Mohamed-Ali Hamza, Omar Saidi. 2013-11-29. The blow-up rate for strongly perturbed semilinear wave equations. https://doi.org/10.1007/s10884-014-9371-4

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