15 papers
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 exi…
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 wit…
Rate of convergence of the vanishing viscosity method for Hamilton-Jacobi equations with Neumann boundary conditions
Alessandro Goffi
We study the quantitative small noise limit in the norm of certain time-dependent Hamilton-Jacobi equations equipped with Neumann boundary conditions, depending on the r…
Interpolated time-Hölder regularity of solutions of fully nonlinear parabolic equations
Alessandro Goffi
We show interior Schauder estimates for a special class of fully nonlinear parabolic Isaacs equations by the maximum principle, providing an Evans-Krylov result for the model equat…