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http://dx.doi.org/10.5831/HMJ.2021.43.4.667

NEW BLOW-UP CRITERIA FOR A NONLOCAL REACTION-DIFFUSION SYSTEM  

Kim, Eun-Seok (Department of Mathematics, Chonnam National University, Institute for General Education, Sunchon National University)
Publication Information
Honam Mathematical Journal / v.43, no.4, 2021 , pp. 667-678 More about this Journal
Abstract
Blow-up phenomena for a nonlocal reaction-diffusion system with time-dependent coefficients are investigated under null Dirichlet boundary conditions. Using Kaplan's method with the comparison principle, we establish new blow-up criteria and obtain the upper bounds for the blow-up time of the solution under suitable measure sense in the whole-dimensional space.
Keywords
nonlocal reaction-diffusion system; time-dependent coefficient; blow-up criteria; upper bounds for the blow-up time;
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