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arXiv · 1410.6444

The blow-up rate for strongly perturbed semilinear wave equations in the conformal case

M. A. Hamza·O. Saidi
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Abstract

We consider in this work some class of strongly perturbed for the semilinear wave equation with conformal power nonlinearity. We obtain an optimal estimate for a radial blow-up solution and we have also obtained two less stronger estimates. These results are achieved in three-steps argument by the construction of a Lyapunov functional in similarity variables and the Pohozaev identity.

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M. A. Hamza, O. Saidi. 2014-10-23. The blow-up rate for strongly perturbed semilinear wave equations in the conformal case. https://arxiv.org/abs/1410.6444

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