Reaction-diffusion problems under non-local boundary conditions with blow-up solutions

MARRAS, MONICA;PIRO, STELLA

2014-01-01

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Abstract

This paper deals with blow-up solutions to a class of reaction-diffusion equations under non-local boundary conditions. We prove that under certain conditions on the data the blow-up will occur at some finite time and when the blow-up does occur, lower and upper bounds are derived.