1 citations · 1 across the 5 of their papers we have counts for
5 papers
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…
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…
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 , where , and time derivativ…
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- Δu +\fracμ…
Asymptotic profiles for the Cauchy problem of damped beam equation with two variable coefficients and derivative nonlinearity
Mohamed Ali Hamza, Yuta Wakasugi, Shuji Yoshikawa
In this article we investigate the asymptotic profile of solutions for the Cauchy problem of the nonlinear damped beam equation with two variable coefficients: \[ \partial_t^2 u +…