Universität Augsburg
|
Hemanth Saratchandran Ph.D.
Universität Augsburg
spricht am
Montag, 3. Dezember 2018
um
15:30 Uhr
im
Raum 2004 (L1)
über das Thema:
Abstract: |
The problem of determining the essential self-adjointness of a differential operator on a smooth manifold, and its powers, is an important and well studied topic. One of the primary motivations for studying the essential self-adjointness of a differential operator $D$ comes from the fact that it allows one to build a functional calculus (of Borel functions) for the closure of that operator. Such a functional calculus is then used to solve partial differential equations on a manifold constructed via the operator. In this talk, I will present joint work with L. Bandara where we consider the question of essential self-adjointness of first order differential operators, and their powers, in the context of non-smooth metrics on noncompact manifolds. Using methods from geometry and operator theory we are able to show that essential self-adjointness, at its heart, is an operator theoretic condition which requires minimal assumptions on the geometry of the manifold. Applications to Dirac type operators on Dirac bundles will be discussed. |
Hierzu ergeht herzliche Einladung. |
Prof. Dr. Bernhard Hanke |