paper

On Some Nonlocal in Time and Space Parabolic Problem

arXiv:2406.15827 · doi:10.1016/j.apnum.2024.11.001

Abstract

The goal of this note is to study nonlinear parabolic problems nonlocal in time and space. We first establish the existence of a solution and its uniqueness in certain cases. Finally we consider its asymptotic behaviour.

11 pages