13 citations · 39 across the 20 of their papers we have counts for
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math.OC2020★ 10 cited
Asymptotic analysis for Hamilton-Jacobi-Bellman equations on Euclidean space
Piermarco Cannarsa, Cristian Mendico
The long-time average behavior of the value function in the calculus of variations is known to be connected to the existence of the limit of the corresponding Abel means. Still in…
math.OC2020
Ergodic behavior of control and mean field games problems depending on acceleration
Pierre Cardaliaguet, Cristian Mendico
The goal of this paper is to study the long time behavior of solutions of the first-order mean field game (MFG) systems with a control on the acceleration. The main issue for this…
math.AP2020★ 12 cited
Weak KAM approach to first-order Mean Field Games with state constraints
Piermarco Cannarsa, Wei Cheng, Cristian Mendico +1
We study the asymptotic behavior of solutions to the constrained MFG system as the time horizon goes to infinity. For this purpose, we analyze first Hamilton-Jacobi equations w…