6 citations · 19 across the 55 of their papers we have counts for
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Fractional porous media equations: existence and uniqueness of weak solutions with measure data
Gabriele Grillo, Matteo Muratori, Fabio Punzo
We prove existence and uniqueness of solutions to a class of porous media equations driven by the fractional Laplacian when the initial data are positive finite Radon measures on t…
Allen-Cahn Approximation of Mean Curvature Flow in Riemannian manifolds I, uniform estimates
Adriano Pisante, Fabio Punzo
We are concerned with solutions to the parabolic Allen-Cahn equation in Riemannian manifolds. For a general class of initial condition we show non positivity of the limiting energy…
Allen-Cahn Approximation of Mean Curvature Flow in Riemannian manifolds II, Brakke's flows
Adriano Pisante, Fabio Punzo
We prove convergence of solutions to the parabolic Allen-Cahn equation to Brakke's motion by mean curvature in space forms, generalizing previous results from [15] in Euclidean spa…
Uniqueness in weighted Lebesgue spaces for a class of fractional parabolic and elliptic equations
Fabio Punzo, Enrico Valdinoci
We investigate uniqueness, in suitable weighted Lebesgue spaces, of solutions to a class of fractional parabolic and elliptic equations.
On a fractional sublinear elliptic equation with a variable coefficient
Fabio Punzo, Gabriele Terrone
We study existence and uniqueness of bounded solutions to a fractional sublinear elliptic equation with a variable coefficient, in the whole space. Existence is investigated in con…
On the Cauchy problem for a general fractional porous medium equation with variable density
Fabio Punzo, Gabriele Terrone
We study the well-posedness of the Cauchy problem for a fractional porous medium equation with a varying density. We establish existence of weak energy solutions; uniqueness and no…