4 papers
Hölder continuity for non-coercive Hamilton-Jacobi equations associated to linear control systems
Megan Griffin-Pickering, Alpár R. Mészáros
In this paper we establish Hölder continuity estimates for viscosity solutions to first order Hamilton-Jacobi equations linked to linear control systems satisfying the Kalman rank…
Distributed Equilibria for -Player Differential Games with Interaction through Controls: Existence, Uniqueness and Large Limit
Hei Jie Lam, Alpár R. Mészáros
We establish the existence and uniqueness of distributed equilibria to possibly nonsymmetric player differential games with interactions through controls under displacement sem…
Existence Theory for a Cross-Diffusion System with Independent Drifts: Mixing Dynamics
Alpár R. Mészáros, Guy Parker
We consider a cross-diffusion system for which the diffusion of each species is governed solely by the aggregate density through a pressure law of logarithmic or fast diffusion typ…
Unconditional well-posedness of the master equation for monotone mean field games of controls
Joe Jackson, Alpár R. Mészáros
We establish the first unconditional well-posedness result for the master equation associated with a general class of mean field games of controls. Our analysis covers games with d…