Lower bounds for the blow-up time of a nonlocal reaction-diffusion system with time-dependent coefficients

Abstract

In this paper, we investigated the Dirichlet initial boundary value problem of a weakly coupled nonlocal reaction-diffusion system with time-dependent coefficients. With several suitable weighted measures in whole-dimensional space, we obtained the lower bounds for the blow-up time of the solution  to the problem by using the technique of modied differential inequality.