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20172026
most citedClassical and weak solutions to local first-order mean field games through elliptic regularity

3 citations · 4 across the 7 of their papers we have counts for

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5 papers · 1 filter

math.AP2026

Master equations with an individual noise on finite state graphs

Wilfrid Gangbo, Sebastian Munoz, Jeremy Wu +1

We develop a classical well-posedness and regularity theory on a finite connected weighted graph for an extended mean field game system, its associated master equation, and a Hamil…

math.AP2023

Free boundary regularity and support propagation in mean field games and optimal transport

Pierre Cardaliaguet, Sebastian Munoz, Alessio Porretta

We study the behavior of solutions to the first-order mean field games system with a local coupling, when the initial density is a compactly supported function on the real line. Ou…

math.AP2022

Regularity and long time behavior of one-dimensional first-order mean field games and the planning problem

Nikiforos Mimikos-Stamatopoulos, Sebastian Munoz

We study the regularity and long time behavior of the one-dimensional, local, first-order mean field games system and the planning problem, assuming a Hamiltonian of superlinear gr…

math.AP2021★ 1 cited

Classical solutions to local first-order extended mean field games

Sebastian Munoz

We study the existence of classical solutions to a broad class of local, first order, forward-backward Extended Mean Field Games systems, that includes standard Mean Field Games, M…

math.AP2020★ 3 cited

Classical and weak solutions to local first-order mean field games through elliptic regularity

Sebastian Munoz

We study the regularity and well-posedness of the local, first-order forward-backward mean field games system, assuming a polynomially growing cost function and a Hamiltonian of qu…