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

摘要

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.