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Lower bounds for the blow-up time in a semilinear parabolic problem involving a variable source
, Article Applied Mathematics Letters ; Vol. 27, issue , 2014 , p. 49-52 ; Ghaemi, M ; Hesaaraki, M ; Sharif University of Technology
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
Blow-up phenomena for a system of semilinear parabolic equations with nonlinear boundary conditions
, Article Mathematical Methods in the Applied Sciences ; Volume 38, Issue 3 , 2015 , Pages 527-536 ; 01704214 (ISSN) ; Hesaaraki, M ; Sharif University of Technology
John Wiley and Sons Ltd
2015
Abstract
This paper deals with the blow-up phenomena for a system of parabolic equations with nonlinear boundary conditions. We show that under some conditions on the nonlinearities, blow-up occurs at some finite time. We also obtain upper and lower bounds for the blow-up time when blow-up occurs. Copyright