5 citations · 13 across the 7 of their papers we have counts for
7 papers
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…
Large Time Behavior of Solutions to Hamilton-Jacobi Equations on Networks
Marco Pozza
Starting from Namah and Roquejoffre (Commun. Partial Differ. Equations, 1999) and Fathi (C. R. Acad. Sci., Paris, Sér. I, Math., 1998), the large time asymptotic behavior of soluti…
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…
Representation Formula for Viscosity Solutions to a class of Nonlinear Parabolic PDEs
Marco Pozza
We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDEs given as a sup--envelope function. This is done through a dynamic pr…
Representation Formula for Viscosity Solution to a PDE Problem involving Pucci's Extremal Operator
Marco Pozza
We provide a representation formula for viscosity solutions to an elliptic Dirichlet problem involving Pucci's extremal operators. This is done through a dynamic programming princi…
Representation Formula for Viscosity Solutions to Parabolic PDEs with Sublinear Operators
Marco Pozza
We provide a representation formula for viscosity solutions to a class of nonlinear second order parabolic PDE problem involving sublinear operators. This is done through a dynamic…
Discounted Hamilton-Jacobi Equations on Networks and Asymptotic Analysis
Marco Pozza, Antonio Siconolfi
We study discounted Hamilton Jacobi equations on networks, without putting any restriction on their geometry. Assuming the Hamiltonians continuous and coercive, we establish a comp…