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Saanouni, Tarek
Global and non global solutions for some fractional heat equations with pure power nonlinearity
The initial value problem for a semi-linear fractional heat equation is investigated. In the focusing case, global well-posedness and exponential decay are obtained. In the focusing sign, global and non global existence of solutions are discussed via the potential well method.

Keywords:nonlinear fractional heat equation, global Existence, decay, blow-up

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