Fei-Ying YANG, Jian-Wen SUN

Blow-up phenomena for nonlocal inhomogeneous diffusion problems

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.

Anahtar Kelimeler:

Blow-up solutions, bounds on blow-up time, nonlocal dispersal, comparison principle

Blow-up phenomena for nonlocal inhomogeneous diffusion problems

Keywords:

Blow-up solutions, bounds on blow-up time, nonlocal dispersal, comparison principle,

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