Richard E. Phillips Lecture Series

Partial Differential Equations Methods For Dynamics

by Lawrence C. Evans, Professor of Mathematics, University of California, Berkeley

Abstract

In this sequence of lectures, I will discuss various PDE techniques useful for ``weak KAM theory" in Hamiltonian dynamics. The idea is that an action minimization principle introduced by Mather singles out a sort of integrable structure in the midst of otherwise chaotic motions, on which an appropriate effective Hamiltonian governs the flow. PDE methods
provide useful estimates and insights.

The three lectures will be expository, introducing the Lagrangian, Hamiltonian and (possible) quantum mechanical aspects of this program.

For additional information:

Department of Mathematics
Michigan State University
East Lansing, MI 48824-1027
(517)355-9680
ginther@math.msu.edu
www.math.msu.edu/Lecture_Series