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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