A better bound on blow-up rate for the superconformal semilinear wave equation
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 [14] , [16] .
Authors
- Hatem Zaag (ORCID: https://orcid.org/0000-0002-1038-1201)
- Mohamed Ali Hamza
Institutions
- Centre National de la Recherche Scientifique (FR)
- Sorbonne Université (FR)
- Université Sorbonne Paris Nord (FR)
- Laboratoire Analyse, Géométrie et Applications (FR)
- Imam Abdulrahman Bin Faisal University (SA)
Publication Details
- Journal
- Journal of Functional Analysis
- Published
- 2025-02-07
- DOI
- https://doi.org/10.1016/j.jfa.2025.110862
- Citations
- 2
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 7.38