33 citations · 52 across the 31 of their papers we have counts for
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Regularizing estimates for positive solutions of the heat equation under geometric flows
Alessandro Goffi, Francesco Pediconi
We study higher-order global estimates for the heat equation on Riemannian manifolds, both for static metrics and for metrics evolving under the Ricci flow. Under minimal geometric…
On the rate of the vanishing viscosity approximation for Mean Field Games with nonlocal coupling
Gennaro Ciampa, Alessandro Goffi
We study quantitative convergence rates of the vanishing viscosity approximation of first-order time-dependent Mean Field Games with regularizing coupling acting in the Hamilton-Ja…
Quantitative maximal -regularity for viscous Hamilton-Jacobi PDEs in 2D and Mean Field Games
Alessandro Goffi
We discuss quantitative Calderón-Zygmund estimates in for 2D viscous Hamilton-Jacobi equations with natural growth in the gradient. We apply the result to obtain the exis…
Transport-diffusion equations with irregular data and applications to stability estimates for second-order Hamilton-Jacobi PDEs
Gianmarco Giovannardi, Alessandro Goffi
This paper studies quantitative uniqueness properties in spaces for Fokker-Planck and transport-diffusion equations under two new assumptions on their velocity field $b=b(x,t…
On the smoothness of solutions of fully nonlinear second order equations in the plane
Alessandro Goffi
We study interior regularity estimates for solutions of fully nonlinear uniformly elliptic equations of the general form in two independent variables and with…