175 citations · 580 across the 34 of their papers we have counts for
5 papers · 1 filter
Asymptotic behavior of a diffused interface volume-preserving mean curvature flow
Matteo Bonforte, Francesco Maggi, Daniel Restrepo
We consider a diffused interface version of the volume-preserving mean curvature flow in the Euclidean space, and prove, in every dimension and under natural assumptions on the ini…
Smoothing effects and extinction in finite time for fractional fast diffusions on Riemannian manifolds
Elvise Berchio, Matteo Bonforte, Gabriele Grillo
We study nonnegative solutions to the Cauchy problem for the Fractional Fast Diffusion Equation on a suitable class of connected, noncompact Riemannian manifolds. This parabolic eq…
Refined asymptotics for the Cauchy problem for the fast -Laplace evolution equation
Matteo Bonforte, Iwona Chlebicka, Nikita Simonov
Our focus is on the fast diffusion equation driven by the -Laplacian operator, that is with , posed in the whole space , . The…
Sharp regularity estimates for -order -Laplacian evolution problems
Matteo Bonforte, Ariel Salort
We study regularity properties of solutions to nonlinear and nonlocal evolution problems driven by the so-called \emph{-order fractional Laplacian} type operators: $$ \parti…
Time-Fractional Porous Medium Type Equations. Sharp Time Decay and Regularization
Matteo Bonforte, Maria Gualdani, Peio Ibarrondo
We consider a class of porous medium type of equations with Caputo time derivative. The prototype problem reads as $\Dc u=-\A u^m$ and is posed on a bounded Euclidean domain $Ω\sub…