On certain time- and space-fractional evolution equations
Résumé
In this article, we present first a new technique to prove, in a general case, the recent result of Cazenave, Dickstein and Weissler \cite{CDW} on the blowing-up solutions to a temporally nonlocal nonlinear parabolic equation.\\ Then, we study the blow-up rate and the global existence in time of the solutions. Furthermore, we show necessary conditions for global existence.\\
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