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

Mohamed Ali Hamza; Hatem Zaag

doi:10.1016/j.jfa.2025.110862

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

Mohamed Ali Hamza^*
, Hatem Zaag

^*Corresponding author for this work

Department of Basic Sciences

Université Sorbonne Paris Nord

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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].

Original language	English
Article number	110862
Journal	Journal of Functional Analysis
Volume	288
Issue number	11
DOIs	https://doi.org/10.1016/j.jfa.2025.110862
State	Published - 1 Jun 2025

Keywords

Blow-up rate
Finite time blow-up
Semilinear wave equation
Superconformal exponent

Access to Document

10.1016/j.jfa.2025.110862

Cite this

@article{0b4fe2547653431eb48a9f476d8255ca,

title = "A better bound on blow-up rate for the superconformal semilinear wave equation",

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].",

keywords = "Blow-up rate, Finite time blow-up, Semilinear wave equation, Superconformal exponent",

author = "Hamza, \{Mohamed Ali\} and Hatem Zaag",

note = "Publisher Copyright: {\textcopyright} 2025 Elsevier Inc.",

year = "2025",

month = jun,

day = "1",

doi = "10.1016/j.jfa.2025.110862",

language = "English",

volume = "288",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

number = "11",

}

TY - JOUR

T1 - A better bound on blow-up rate for the superconformal semilinear wave equation

AU - Hamza, Mohamed Ali

AU - Zaag, Hatem

PY - 2025/6/1

Y1 - 2025/6/1

N2 - 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].

AB - 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].

KW - Blow-up rate

KW - Finite time blow-up

KW - Semilinear wave equation

KW - Superconformal exponent

UR - https://www.scopus.com/pages/publications/85217917947

U2 - 10.1016/j.jfa.2025.110862

DO - 10.1016/j.jfa.2025.110862

M3 - Article

AN - SCOPUS:85217917947

SN - 0022-1236

VL - 288

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 11

M1 - 110862

ER -

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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this