3 citations · 4 across the 4 of their papers we have counts for
7 papers · 1 filter
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…
The Vanishing Discount problem for Hamilton-Jacobi Equations in the Euclidean Space
Hitoshi Ishii, Antonio Siconolfi
We study the asymptotic behavior of the solutions to a family of discounted Hamilton Jacobi equations, posed in the Euclidean N dimensional space, when the discount factor goes to…
Scalar Reduction Tchniques for Weakly Coupled Hamilton-Jacobi Systems
Antonio Siconolfi, Sahar Zabad
We study a class of weakly coupled systems of Hamilton{Jacobi equations at the critical level. We associate to it a family of scalar discounted equation. Using control{theoretic te…
Cycle Chacterization of the Aubry Set for Weakly Coupled Hamilton-Jacobi Systems
Hassan Ibrahim, Antonio Siconolfi, Sahar Zabad
We study a class of weakly coupled systems of Hamilton-acobi equations using the random frame introduced in a previous paper of Mitake-Siconolfi-Tran-Yamada. We provide a cycle con…
Singularly Perturbed Control Systems with Noncompact Fast Variable
Thuong Nguyen, Antonio Siconolfi
We deal with a singularly perturbed optimal control problem with slow and fast variable depending on a parameter ε. We study the asymptotic, as ε goes to 0, of the corresponding va…