Blow-up in reaction-diffusion systems under Robin boundary conditions
Abstract
In this paper we apply the differential inequality technique of Payne et. al Payne&SchaeferRobin08 to show that a reaction-diffusion system admits blow-up solutions, and to determine an upper bound for the blow-up time. For a particular nonlinearity, a lower bound on the blow-up time, when blow-up does occur, is also given.
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