Mather problem and viscosity solutions in the stationary setting

Details Mather problem and viscosity solutions in the stationary setting Mather problem and viscosity solutions in the stationary setting

2009-03-09

arxiv.org/abs/0903.1594v1

Mathematics

Analysis of PDEs

Scientific paper

In this paper we discuss the Mather problem for stationary Lagrangians, that is Lagrangians $L:\Rr^n\times \Rr^n\times \Omega\to \Rr$, where $\Omega$ is a compact metric space on which $\Rr^n$ acts through an action which leaves $L$ invariant. This setting allow us to generalize the standard Mather problem for quasi-periodic and almost-periodic Lagrangians. Our main result is the existence of stationary Mather measures invariant under the Euler-Lagrange flow which are supported in a graph. We also obtain several estimates for viscosity solutions of Hamilton-Jacobi equations for the discounted cost infinite horizon problem.

Affiliated with

Also associated with

No associations

Rating

Mather problem and viscosity solutions in the stationary setting does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Mather problem and viscosity solutions in the stationary setting, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Mather problem and viscosity solutions in the stationary setting will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-96080