Optimal mass transportation and Mather theory

Details Optimal mass transportation and Mather theory Optimal mass transportation and Mather theory

2004-12-15

arxiv.org/abs/math/0412299v2

Journal of the European Mathematical Society 9 (2007) 85-121

Mathematics

Dynamical Systems

Scientific paper

We study optimal transportation of measures on compact manifolds for costs defined from convex Lagrangians. We prove that optimal transportation can be interpolated by measured Lipschitz laminations, or geometric currents. The methods are inspired from Mather theory on Lagrangian systems. We make use of viscosity solutions of the associated Hamilton-Jacobi equation in the spirit of Fathi's approach to Mather theory.

Affiliated with

Also associated with

No associations

Rating

Optimal mass transportation and Mather theory 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 Optimal mass transportation and Mather theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Optimal mass transportation and Mather theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-92798