activity
20132024
most citedBlow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

23 citations · 99 across the 21 of their papers we have counts for

collaborators

21 papers

math.AP2024

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

Mohamed Ali Hamza, Hatem Zaag

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…

math.AP2023

Blow-up and lifespan estimate for the generalized tricomi equation with the scale-invariant damping and time derivative nonlinearity on exterior domain

Makram Hamouda, Mohamed Ali Hamza, Bouthaina Yousfi

The article is devoted to investigating the initial boundary value problem for the damped wave equation in the scale-invariant case with time-dependent speed of propagation on the…

math.AP2022

Blow-up and lifespan estimate for wave equations with critical damping term of space-dependent type related to Glassey conjecture

Ahmad Z. Fino, Mohamed Ali Hamza

The main purpose of the present paper is to study the blow-up problem of the wave equation with space-dependent damping in the \textit{scale-invariant case} and time derivative non…

math.AP2022

Improvement on the blow-up for a weakly coupled wave equations with scale-invariant damping and mass and time derivative nonlinearity

Makram Hamouda, Mohamed Ali Hamza

An improvement of [18] on the blow-up region and the lifespan estimate of a weakly coupled system of wave equations with damping and mass in the scale-invariant case and with time-…

math.AP2021

Blow-up of solutions to semilinear wave equations with a time-dependent strong damping

Ahmad Z. Fino, Mohamed Hamza

The paper investigates a class of a semilinear wave equation with time-dependent damping term () and a nonlinearity . We will show the influence of…

math.AP2021

Refined estimates of the blow-up profile for a strongly perturbed semilinear wave equations in one space dimension

M. A. Hamza, Omar Saidi

We consider in this paper a class of strongly perturbed semilinear wave equations with a non-characteristic point in one space dimension, for general initial data. Working in the f…