Colloquium hosted by PIMS-UBC

4:00 p.m., Wednesday (May 9, 2007)

WMAX 110 (PIMS Facility)

Chris Jones
University of North Carolina

Boundary Value Problems for Elliptic PDEs and the Morse Index Theorem in Multi-Dimensions

Abstract: A symplectic view of linearized elliptic problems leads naturally to the formulation of an appropriate Maslov Index. This is well-known in one space dimension and is generalized here to domains in higher space dimensions. The result is a Morse Index type theorem that applies on bounded domains with any prescribed (symplectic) boundary conditions.

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