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math.AP2021
Blow-up versus global existence of solutions for reaction-diffusion equations on classes of Riemannian manifolds
Gabriele Grillo, Giulia Meglioli, Fabio Punzo
It is well known from the work of [2] that the Fujita phenomenon for reaction-diffusion evolution equations with power nonlinearities does not occur on the hyperbolic space $\mathb…
math.AP2021
The Fractional Porous Medium Equation on noncompact Riemannian manifolds
Elvise Berchio, Matteo Bonforte, Gabriele Grillo +1
We study nonnegative solutions to the Fractional Porous Medium Equation on a suitable class of connected, noncompact Riemannian manifolds. We provide existence and smoothing estima…