Boundary Value Problems for Elliptic PDEs and the Morse Index
- Date: 05/09/2007
Lecturer(s):
Chris Jones (University of North Carolina / University of Warwick)
Location:
University of British Columbia
Topic:
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.
Other Information:
UBC Mathematics Department Colloquium Hosted by PIMS-UBC 2007