Article Dans Une Revue Journal of Functional Analysis Année : 2025

A better bound on blow-up rate for the superconformal semilinear wave equation

Mohamed Ali Hamza
  • Fonction : Auteur

Résumé

We consider the semilinear wave equation in higher dimensions with superconformal power nonlinearity. The purpose of this paper is to give a new upper bound on the blow-up rate in some space-time integral, showing a $|\log(T-t)|^q$ improvement in comparison with previous results obtained in \cite{HZdcds13,KSVsurc12}.

Dates et versions

hal-04797950 , version 1 (22-11-2024)

Identifiants

Citer

Mohamed Ali Hamza, Hatem Zaag. A better bound on blow-up rate for the superconformal semilinear wave equation. Journal of Functional Analysis, 2025, 288 (11), pp.110862. ⟨10.1016/j.jfa.2025.110862⟩. ⟨hal-04797950⟩
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