1 citations · 2 across the 5 of their papers we have counts for
6 papers
Singular mean-filed games
Marco Cirant, Diogo A. Gomes, Edgard A. Pimentel +1
Here, we prove the existence of smooth solutions for mean-field games with a singular mean-field coupling; that is, a coupling in the Hamilton-Jacobi equation of the form $g(m)=-m^…
Continuous Choreographies as Limiting Solutions of -body Type Problems with Weak Interaction
Reynaldo Castaneira, Pablo Padilla, Héctor Sánchez-Morgado
We consider the limit of -body type problems with weak interaction, equal masses and -homogeneous potential, . We obtain the integro-differential equat…
Time dependent mean-field games in the superquadratic case
Diogo A. Gomes, Edgard Pimentel, Héctor Sánchez-Morgado
We investigate time-dependent mean-field games with superquadratic Hamiltonians and a power dependence on the measure. Such problems pose substantial mathematical challenges as the…
Hyperbolicity and exponential long-time convergence for space-time periodic Hamilton-Jacobi equations
Héctor Sánchez-Morgado
We prove exponential convergence to time-periodic states of the solutions of time-periodic Hamilton-Jacobi equations on the torus, assuming that the Aubry set is the union of a fin…
Vanishing viscosity limits for space-time periodic Hamiltonian-Jacobi-Bellman equations
Eddaly Guerra, Héctor Sánchez-Morgado
Extending previuos results, we study the vanishing viscosity limit of solutions of space-time periodic Hamiltonian-Jacobi-Belllman equations, assuming that the "Aubry set" is the u…
Reidemeister torsion and Integrable Hamiltonian systems
Alexander Fel'shtyn, Hector Sánchez-Morgado
In this paper we compute the Reidemeister torsion of a isoenergetic surface for the integrable Hamiltonian system on the four-dimensional symplectic manifold. We use the spectral s…