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

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

2010-02-11

arxiv.org/abs/1002.2328v1

Mathematics

Analysis of PDEs

20 pages

Scientific paper

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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