Measure theoretic approaches to Hamiltonian geometric evolution problems
Robert Jerrard,
(University of Toronto)
Jueves 21 de febrero 2013
The field of geometric measure theory has developed a variety of
tools that have proved very useful for the study of certain geometric problems
of elliptic and parabolic type, with the canonical examples being the minimal
surface problem and its parabolic counterpart, motion by mean curvature.
We investigate, by considering a couple of simple examples, whether these
tools,
or at least this perspective, can be at all useful in studying geometric
evolution
problems of Hamiltonian type, including Schroedinger and hyperbolic analogs
of the minimal surface problem.