Special Session 108: Regularity in local versus nonlocal problems
Regularity Results for Weak Solutions of Singular Parabolic-Elliptic Chemotaxis Models with a Source Term
Fatma Gamze DUZGUN
Cagliari University Italy
Co-Author(s):
Abstract:
We study a quasilinear parabolic-elliptic chemotaxis system featuring singular porous medium-type diffusion, a nonlinear chemotactic sensitivity, and a source term that depends on both the cell density and its gradient. By applying the De Giorgi-DiBenedetto method, we demonstrate that the bounded solutions exhibit Holder continuity.