1 citations · 1 across the 2 of their papers we have counts for
4 papers
Weak KAM theory for subriemannian Lagrangians
Hector Sanchez Morgado
We extend weak KAM theory to Lagrangians that are defined only on the horizontal distribution of a sub-Riemannian manifold. The main tool is Tonelli's theorem which allows dispendi…
Discrete approximation of the viscous HJ equation
Andrea Davini, Hitoshi Ishii, Renato Iturriaga +1
We consider a stochastic discretization of the stationary viscous Hamilton Jacobi equation on the flat d dimensional torus, associated with a Hamiltonian, convex and superlinear in…
Time-periodic Evans approach to weak KAM theory
Hector Sanchez Morgado
We study the time-periodic version of Evans approach to weak KAM theory. Evans minimization problem is equivalent to a first oder mean field game system. For the mechanical Hamilto…
The Lax-Oleinik semi-group on graphs
Renato Iturriaga, Hector Sanchez Morgado
We consider Tonelli Lagrangians on a graph, define weak KAM solutions, which happen to be the fixed points of the Lax-Oleinik semi-group, and identify their uniqueness set as the A…