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Spring Topology and Dynamics Conference
March 21-23, 2002
University of Texas
Austin, TX, USA

Organizers
Cameron Gordon, John Luecke, Alan Reid

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Invariant measures for constrained mechanical systems
by
Diogo Gomes
The University of Texas at Austin

Using methods from Viscosity Solutions of Hamilton-Jacobi equations we prove the existence of invariant measures for constrained mechanical systems. These measures can be characterized by a variational principle similar to Mather measures. Using duality methods we prove an analog of Mather's graph theorem. Finally we apply our results to show regularity for stationary Hamilton-Jacobi equations.

Date received: March 4, 2002

Copyright © 2002 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caik-82.