Impartido por el Dr. Rafael de la Llave, University of Texas in AustinResumen
In several applications, one considers variational problems when the coefficient are periodic. For example, one can consider elastic configurations in composite material, variational principles on manifolds, or mecaninical systems that depend on time. We will show that under very general circumstances, one has quasiperiodic solutions of all frequencies which also enjoy remarkable geometric properties.
This is part of the results that are now known as Homogeneization or Aubry-Mather theory. The talk is based on joint work with L. Caffarelli, A. Candel, H. Koch, C. Radin.