Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation

Details Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation

2010-03-11

arxiv.org/abs/1003.2316v2

Mathematics

Symplectic Geometry

Scientific paper

Let H be a Tonelli Hamiltonian defined on the cotangent bundle of a compact and connected manifold and let u be a semi-concave function defined on M. If E (u) is the set of all the super-differentials of u and (\phi t) the Hamiltonian flow of H, we prove that for t > 0 small enough, \phi-t (E (u)) is an exact Lagrangian Lipschitz graph. This provides a geometric interpretation/explanation of a regularization tool that was introduced by P.~Bernard to prove the existence of C 1,1 subsolutions.

Affiliated with

Also associated with

No associations

Rating

Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation 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 Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Pseudographs and Lax-Oleinik semi-group: a geometric and dynamical interpretation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-540475