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

Sponsor: 

pimsubc