Qualitative Properties of Solutions to a Time-Space Fractional Evolution Equation
Résumé
In this article, we analyze a spatio-temporally nonlocal nonlinear parabolic equation. First, we valid the equation by an existence-uniqueness result. Then, we show that blowing-up solutions exist and study their time blow-up profile. Also, a result on the existence of global solutions is presented. Furthermore, we establish necessary conditions for local or global existence.
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