Lower bounds for the blow-up time of the nonlinear non-local reaction diffusion problems in R N ( N ≥ 3 )

Abstract

This paper deals with the blow-up of the solution to a non-local reaction diffusion problem in R N for N ≥ 3 under nonlinear boundary conditions. Utilizing the technique of a differential inequality, lower bounds for the blow-up time are derived when the blow-up does occur under some suitable assumptions. MSC: 35K20; 35K55; 35K65

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