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arXiv · 1002.2328

A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations

Mohamed-Ali Hamza·Hatem Zaag
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Abstract

We consider in this paper some class of perturbation for the semilinear wave equation with subcritical (in the conformal transform sense) power nonlinearity. We first derive a Lyapunov functional in similarity variables and then use it to derive the blow-up rate. Though the result is similar to the unperturbed case in its statements, this is not the case of our method, which is new up to our knowledge.

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Mohamed-Ali Hamza, Hatem Zaag. 2010-02-11. A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations. https://arxiv.org/abs/1002.2328

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