REGULARITY AND CONVERGENCE TO EQUILIBRIUM FOR A CLASS OF NONLOCAL EVOLUTION EQUATIONS

DOI: 10.18173/2354-1059.2021-0025

Abstract

We study a class of semilinear nonlocal partial differential equations, which model different problems related to processes in materials with memory. Our aim is to derive sufficient conditions ensuring the global solvability, regularity, and convergence to equilibrium of solutions.