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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…
math.AP2021
The Cauchy problem for the fast Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour
Matteo Bonforte, Nikita Simonov, Diana Stan
We study fine global properties of nonnegative solutions to the Cauchy Problem for the fast -Laplacian evolution equation on the whole Euclidean space, in the so-cal…