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.

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