2 papers
math.AP2025
Global regularity results for the fractional heat equation and application to a class of non-linear KPZ problems
Boumediene Abdellaoui, Somia Atmani, Kheireddine Biroud +1
In the first part of this paper, we prove the global regularity, in an adequate parabolic Bessel-Potential space and then in the corresponding parabolic fractional Sobolev space, o…
math.AP2023
A class of fractional parabolic reaction-diffusion systems with control of total mass: theory and numerics
Maha Daoud, El-Haj Laamri, Azeddine Baalal
In this paper, we prove global-in-time existence of strong solutions to a class of fractional parabolic reaction-diffusion systems posed in a bounded domain of . The…