3 papers
math.NA2026
A Hybrid Physics-Informed Neural Network Framework for Subcritical and Supercritical Dynamics in Multi-Species Chemotaxis
Hamid El Bahja, Jan C. Riedel, Peter Jung
We study a two-species chemotaxis system that exhibits two qualitatively different regimes: subcritical dynamics, in which solutions remain smooth, and supercritical dynamics, in w…
math.AP2026
Local Boundedness of a Direction Dependent Double Phase Nonlocal Elliptic Equation
Hamid El Bahja
This paper investigates the local boundedness of weak solutions to a direction-dependent double-phase nonlocal elliptic equation. By employing refined energy estimates and De Giorg…
math.AP2024
Regularity for obstacle problems to anisotropic parabolic equations
Hamid El Bahja
Following Dibenedetto's intrinsic scaling method, we prove local Hölder continuity of weak solutions to obstacle problems related to some anisotropic parabolic equations under the…