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.

中文翻译：

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具有时间相关系数的非局域反应扩散系统的爆破分析

摘要 在零狄利克雷边界条件下研究了具有时间相关系数的非局部反应扩散系统的爆破分析。基于Kaplan的方法、比较原理和修正的微分不等式技术，我们建立了一个爆破准则，并推导出了全维空间适当测度下爆破时间的界限。