7 citations · 28 across the 17 of their papers we have counts for
20 papers
Differential and Variational Approach to First Order Mean Field Games in a Generalized Form
Antonio Siconolfi
We investigate time dependent, first order Mean Field Games on the torus comparing, in a broad and general framework, the classical differential formulation , given by a Hamilton J…
Homogenization of Hamilton-Jacobi equations on networks
Marco Pozza, Antonio Siconolfi, Alfonso Sorrentino
We prove a homogenization result for a family of time-dependent Hamilton-Jacobi equations, rescaled by a parameter tending to zero, posed on a periodic network, with…
Numerical Analysis of time-dependent Hamilton-Jacobi Equations on Networks
Elisabetta Carlini, Antonio Siconolfi
A new algorithm for time dependent Hamilton Jacobi equations on networks, based on semi Lagrangian scheme, is proposed. It is based on the definition of viscosity solution for this…
Lax--Oleinik formula on networks
Marco Pozza, Antonio Siconolfi
We provide a Lax-Oleinik-type representation formula for solutions of time-dependent Hamilton-Jacobi equations, posed on a network with a rather general geometry, under standard as…
Homogenization of the G-Equation: a metric approach
Antonio Siconolfi
The aim of the paper is to recover some results of Cardaliaguet-Nolen-Souganidis in \cite{CNS} and Xin-Yu in \cite{XY} about the homogenization of the G--equation, using different…
Time--dependent equations on networks
Antonio Siconolfi
We study well posedness of time--dependent Hamilton--Jacobi equations on a network, coupled with a continuous initial datum and a flux limiter. We show existence and uniqueness of…