4 citations · 7 across the 9 of their papers we have counts for
5 papers · 1 filter
Long Time Behavior of First Order Mean Field Games on Euclidean Space
Piermarco Cannarsa, Wei Cheng, Cristian Mendico +1
The aim of this paper is to study the long time behavior of solutions to deterministic mean field games systems on Euclidean space. This problem was addressed on the torus ${\mathb…
Weak KAM solutions of Hamilton-Jacobi equations with decreasing dependence on unknown functions
Kaizhi Wang, Lin Wang, Jun Yan
We consider the Hamilton-Jacobi equation \[{H}(x,u,Du)=0,\quad x\in M, \] where is a connected, closed and smooth Riemannian manifold, satisfies Tonelli conditions…
Herglotz' generalized variational principle and contact type Hamilton-Jacobi equations
Piermarco Cannarsa, Wei Cheng, Kaizhi Wang +1
We develop an approach for the analysis of fundamental solutions to Hamilton-Jacobi equations of contact type based on a generalized variational principle proposed by Gustav Herglo…
Global generalized characteristics for the Dirichlet problem for Hamilton-Jacobi equations at a supercritical energy level
Piermarco Cannarsa, Wei Cheng, Marco Mazzola +1
We study the nonhomogeneous Dirichlet problem for first order Hamilton-Jacobi equations associated with Tonelli Hamiltonians on a bounded domain of assuming the energy l…
Aubry-Mather and weak KAM theories for contact Hamiltonian systems. Part 1: Strictly increasing case
Kaizhi Wang, Lin Wang, Jun Yan
This paper is concerned with the study of Aubry-Mather and weak KAM theories for contact Hamiltonian systems with Hamiltonians defined on , satisfy…