Blow-up phenomena for nonlocal inhomogeneous diffusion problems

Authors : Jian-wen Sun

Pages : 466-482

Doi:10.3906/mat-1012-577

View : 14 | Download : 13

Publication Date : 9999-12-31

Article Type : Makaleler

Abstract :This paper is concerned with the blow-up of solutions to some nonlocal inhomogeneous dispersal equations subject to homogeneous Neumann boundary conditions. We establish conditions on nonlinearities sufficient to guarantee that solutions exist for all time as well as blow up at some finite time. Moreover, lower bounds for blow-up time of nonlocal problems are obtained.
Keywords : Blow-up solutions, bounds on blow-up time, nonlocal dispersal, comparison principle