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math.AP2026
The Fujita exponent across an interface
Mohamed Majdoub, Ezzedine Mliki
We consider the semilinear parabolic equation \[ \partial_t u = Îu + 2\mathfrak{q}\,δ_{\mathbb{S}}\,\nabla u + |u|^{p-1}u \qquad \text{in } (0,\infty)\times\mathbb{R}^N, \] where…
math.AP2025
Long-Time Asymptotics for Subordinated Fractional Diffusion Equations
Mohamed Majdoub, Ezzedine Mliki
We study the long-time behavior of solutions to a class of evolution equations arising from random-time changes driven by subordinators. Our focus is on fractional diffusion equati…
math.AP2025
The inhomogeneous fractional stochastic heat equation driven by fractional Brownian motion
R. Alessa, R. Al Subaie, M. Alwohaibi +2
We investigate the fractional Hardy-Hénon equation with fractional Brownian noise where $…