English

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

Analysis of PDEs 2025-02-07 v2

Abstract

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(Tt)q|\log(T-t)|^q improvement in comparison with previous results obtained in \cite{HZdcds13,KSVsurc12}.

Keywords

Cite

@article{arxiv.2405.18611,
  title  = {A better bound on blow-up rate for the superconformal semilinear wave equation},
  author = {Mohamed Ali Hamza and Hatem Zaag},
  journal= {arXiv preprint arXiv:2405.18611},
  year   = {2025}
}