Colloquium hosted by PIMSUBC
2:003:00 p.m., Wednesday (May 9, 2007)
WMAX 110 (PIMS Facility)
Bob Jerrard
University of Toronto
GammaConvergence and Saddle Points
Abstract: We prove a theorem asserting, roughly speaking, that if a
sequence of functionals converges to a limiting functional (in the
sense of Gammaconvergence, a natural and widelyused notion in the
calculus of variations), and if the limiting functional has a nondegenerate
critical point, then the approximating functionals have an associated
critical point. This is an analog for saddle points of a theorem about local
minimizers, due to Kohn and Sternberg, that has been known for about 20
years. We apply the theorem to prove the existence of certain solutions of
GinzburgLandau equations.
This is joint work with Peter Sternberg.
Refreshments will be served at 3:00 p.m. at PIMS between the two cohosted colloquiums.
