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math.AP2020
The Fractional Porous Medium Equation on the hyperbolic space
Elvise Berchio, Matteo Bonforte, Debdip Ganguly +1
We consider the nonlinear degenerate parabolic equation of porous medium type, whose diffusion is driven by the (spectral) fractional Laplacian on the hyperbolic space. We provide…
math.FA2020★ 6 cited
On some strong Poincaré inequalities on Riemannian models and their improvements
Elvise Berchio, Debdip Ganguly, Prasun Roychowdhury
We prove second and fourth order improved Poincaré type inequalities on the hyperbolic space involving Hardy-type remainder terms. Since theirs l.h.s. only involve the radial part…