Blow-up time estimates in nonlocal reaction-diffusion systems under various boundary conditions

Marras, M;Piro Vernier, S

2017-01-01

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Abstract

This paper deals with the question of blow-up of solutions to nonlocal reaction-diffusion systems under various boundary conditions. Specifically, conditions on data are introduced to avoid the blow-up of the solution, and when the blow-up occurs, explicit lower and upper bounds of blow-up time are derived.