Lower Bound for the Blow-Up Time for the Nonlinear Reaction-Diffusion System in High Dimensions

In this paper, we study the blow-up phenomenon for a nonlinear reaction-diffusion system with time-dependent coefficients under nonlinear boundary conditions. Using the technique of a first-order differential inequality and the Sobolev inequalities, we can get the energy expression which satisfies t...

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Bibliographic Details
Main Authors: Baiping Ouyang, Wei Fan, Yiwu Lin
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2020/7480676