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

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.

arXiv admin note: text overlap with arXiv:1306.4837 by other authors

References in corpus (3)

• Blow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations
• Blow-up results for semilinear wave equations in the super-conformal case
• Smooth solutions to the nonlinear wave equation can blow up on Cantor sets