Mohamed Ali Hamza

collaborators

4 papers

math.AP2026

Blow-up criteria and lifespan estimates for semilinear wave equations with time-dependent damping and mass

Wenhui Chen, Mohamed Ali Hamza

We consider semilinear wave equations with time-dependent damping and mass and a derivative-type nonlinearity. By applying a Liouville transformation and solving a Volterra integra…

math.AP2026

Asymptotic profiles for the Cauchy problem of semilinear beam equation with two variable coefficients in the subcritical case

Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa

In this article, we investigate the asymptotic profile of solutions to the Cauchy problem for a nonlinear beam equation with two variable coefficients in the subcritical nonlinear…

math.AP2025

Critical exponent for the one-dimensional wave equation with a space-dependent scale invariant damping and time derivative nonlinearity

Ahmad Z. Fino, Mohamed Ali Hamza

We investigate in this paper the Cauchy problem of the one-dimensional wave equation with space-dependent damping of the form $I^¼_{0} (1 + x^{2})^{- 1/2}$ , where $I^¼_{0} > 0$ , and time derivat…

math.AP2025

Global existence for wave equations with scale-invariant time-dependent damping and time derivative nonlinearity

Ahmad Z. Fino, Mohamed Ali Hamza

This paper addresses the Cauchy problem for wave equations with scale-invariant time-dependent damping and nonlinear time-derivative terms, modeled as $$\partial_{t}^2u- Îu +\frac…