Abstract We give sufficient conditions for global existence and finite time blow up of positive solutions for a nonautonomous weakly coupled system with distinct fractional diffusions and Dirichlet boundary conditions. Our approach is based on the intrinsic ultracontractivity property of the semigroups associated to distinct fractional diffusions and the study of blow up of a particular system of nonautonomus delay differential equations.

中文翻译：

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具有狄利克雷边界条件的空间反应扩散系统中非自治和非局域的全局解和爆破解

摘要 我们给出了具有不同分数扩散和狄利克雷边界条件的非自治弱耦合系统的正解的全局存在和有限时间爆炸的充分条件。我们的方法基于与不同分数扩散相关的半群的固有超收缩特性，以及对特定非自治延迟微分方程系统的爆破的研究。