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A Lyapunov functional and blow-up results for a class of perturbed semilinear wave equations
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. Although the result is similar to the unperturbed case …