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Topology/Geometry Seminar
Thursday, October 19, 2006
5:05pm,
138 Hawthorn
Thomas Krainer
Penn State Altoona
Well-posedness of elliptic equations on noncompact manifolds.
Abstract: We are going to discuss some aspects of well-posedness of elliptic equations on noncompact manifolds. Well-posedness in this context is to be understood as Fredholm solvability and regularity of solutions. I am going to focus on general elliptic partial differential operators which includes, in particular, Laplace and Dirac operators, and the (stationary)Schroedinger operator as relevant examples.
The talk will be a survey about several concepts and results: Classical ones (such as well-posedness of boundary problems) and more recent ones (manifolds with noncompact ends of various types).
Topology comes into play on the level of principal symbols that govern the well-posedness at the boundary or the noncompact ends. However, this talk is going to focus mainly on analytic aspects.
We meet weekly on Thursday afternoons, with the third meeting of each month in Altoona. If you are interested in giving a talk in our seminar please contact one of the coordinators for the Spring 2006 semester: Aissa Wade and Wojciech Dorabiala.
