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Pré-Publication, Document De Travail Année : 2023

The blow-up rate for a loglog non-scaling invariant semilinear wave equation

Tristan Roy
  • Fonction : Auteur
Hatem Zaag

Résumé

We consider blow-up solutions of a semilinear wave equation with a loglog perturbation of the power nonlinearity in the subconformal case, and show that the blow-up rate is given by the solution of the associated ODE which has the same blow-up time. In fact, our result shows an upper bound and a lower bound of the blow-up rate, both proportional to the blow-up solution of the associated ODE. The main difficulty comes from the fact that the PDE is not scaling invariant.

Dates et versions

hal-04307461 , version 1 (26-11-2023)

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Tristan Roy, Hatem Zaag. The blow-up rate for a loglog non-scaling invariant semilinear wave equation. 2023. ⟨hal-04307461⟩
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