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Blow-up Phenomena for a Quasilinear Parabolic Equation with Inner Source and Nonlinear Boundary Condition

Rui Yang, Zhong Bo Fang, Su-Cheol Yi

Journal of Interdisciplinary Mathematics/Journal of interdisciplinary mathematics（2016）

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Abstract
In this paper, we deal with blow-up phenomena to a quasilinear parabolic equation with inner source and nonlinear boundary condition. By the technique of differential inequality, we establish a lower bound for the blow-up time if blow-up does occur. Furthermore, we consider a specific class of problems to guarantee occurrence of blow-up and derive an upper bound for the blow-up time.
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Key words
Quasilinear parabolic,Blow-up time,Lower bound,Upper bound
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