3 papers
math.AP2026
Two-sided estimates of the blow-up time for a semilinear wave equation with fractional structural damping
Firas Kaabi
We consider the initial--boundary value problem for the semilinear wave equation with fractional structural damping in a bounded domain, w…
math.AP2026
Lifespan Lower Estimates for a Strongly Damped Semilinear Wave Equation
Firas Kaabi
We consider a strongly damped semilinear wave equation with initial data prescribed as , where the profiles are fixed and only the amplitude is a…
math.AP2026
Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t}…