Elsevier

Applied Mathematics Letters

Volume 27, January 2014, Pages 49-52
Applied Mathematics Letters

Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source

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Abstract

This letter is concerned with the blow-up of the solutions to a semilinear parabolic problem with a reaction given by a variable exponent. Lower bounds for the time of blow-up are derived if the solutions blow up.

Keywords

Variable reaction
Parabolic equation
Blow-up
Lower bounds

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