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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★ 14 cited
Hardy-Rellich and second order Poincaré identities on the hyperbolic space via Bessel pairs
Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury
We prove a family of Hardy-Rellich and Poincaré identities and inequalities on the hyperbolic space having, as particular cases, improved Hardy-Rellich, Rellich and second order Po…