Colloquium hosted by PIMS-UBC
2:00-3:00 p.m., Wednesday (May 9, 2007)
WMAX 110 (PIMS Facility)
Bob Jerrard
University of Toronto
Gamma-Convergence 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 Gamma-convergence, a natural and widely-used 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
Ginzburg-Landau equations.
This is joint work with Peter Sternberg.
Refreshments will be served at 3:00 p.m. at PIMS between the two co-hosted colloquiums.
|