Work

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

Year: 2025

Type: article

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 ⁡ ( T − t ) | q improvement in comparison with previous results obtained in [14] , [16] .

Source: Journal of Functional Analysis

DOI: 10.1016/j.jfa.2025.110862

Authors: Mohamed Ali Hamza, Hatem Zaag

Institutions: Imam Abdulrahman Bin Faisal University, Centre National de la Recherche Scientifique, Université Sorbonne Paris Nord, Laboratoire Analyse, Géométrie et Applications

Language: English

Topic: Advanced Mathematical Physics Problems

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,250

OpenAlex ID: W4407240679

FWCI: 6.432

Cites: 23

Cited by: 4

Related to: 10