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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