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20132022
most citedBlow-up behavior for the Klein-Gordon and other perturbed semilinear wave equations

23 citations · 49 across the 12 of their papers we have counts for

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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…

math.AP2021

Nonexistence result for the generalized Tricomi equation with the scale-invariant damping, mass term and time derivative nonlinearity

Moahmed Fahmi Ben Hassen, Makram Hamouda, Mohamed Ali Hamza +1

In this article, we consider the damped wave equation in the \textit{scale-invariant case} with time-dependent speed of propagation, mass term and time derivative nonlinearity. Mor…

math.AP2021

A note on the nonexistence of global solutions to the semilinear wave equation with nonlinearity of derivative-type in the generalized Einstein-de Sitter spacetime

Makram Hamouda, Mohamed Ali Hamza, Alessandro Palmieri

In this paper, we establish blow-up results for the semilinear wave equation in generalized Einstein-de Sitter spacetime with nonlinearity of derivative type. Our approach is based…