3 papers
math.AP2026
Fujita Phenomenon for a Mixed Local-Nonlocal Hardy-Hénon Equation with Regularly Varying Time Weights
Rihab Ben Belgacem, Mohamed Majdoub
We investigate the Cauchy problem for a semilinear parabolic equation driven by a mixed local-nonlocal diffusion operator of the form \[ \partial_t u - (Î- (-Î)^{\mathsf{s}})u =…
math.AP2026
On the Fujita Phenomenon for a Forced Spatio-Temporal Fractional Diffusion Equation
Rihab Ben Belgacem, Mohamed Majdoub
We investigate the Cauchy problem for a semilinear spatio--temporal fractional diffusion equation with a time-dependent forcing term: \[ \partial_t^αu + (-Î)^{\mathsf{s}} u = |u|…
math.AP2025
On the Nonexistence of Global Solutions for Nonlocal Parabolic Equations with Forcing Terms
Rihab Ben Belgacem, Mohamed Majdoub
The purpose of this work is to analyze the well-posedness and blow-up behavior of solutions to the nonlocal semilinear parabolic equation with a forcing term: \[ \partial_t u - Îu…