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Blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients

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ABSTRACT A blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients is investigated under null Dirichlet boundary conditions. Based on the Kaplan's method, comparison principle and modified differential inequality… Click to show full abstract

ABSTRACT A blow-up analysis for a nonlocal reaction-diffusion system with time-dependent coefficients is investigated under null Dirichlet boundary conditions. Based on the Kaplan's method, comparison principle and modified differential inequality technique, we establish a blow-up criteria and derive the bounds for the blow-up time under the appropriate measures in whole-dimensional space.

Keywords: analysis nonlocal; analysis; nonlocal reaction; blow analysis; time; reaction diffusion

Journal Title: Applicable Analysis
Year Published: 2020

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