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Einladung zum Vortrag (Zoom) von Herrn Prof. Dr. Jussi Behrndt (Technische Universität Graz) am 12.10.2022 - 16:30 Uhr im Rahmen des Forschungsseminars Analysis
[12.10.2022]Im Rahmen des Forschungsseminars Analysis hält am Mittwoch, den 12. Oktober 2022, um 16:30 Uhr,
Herr Prof. Dr. Jussi Behrndt (Technische Universität Graz)
einen Vortrag zum Thema:
Sharp boundary trace theory and Schrödinger operators on bounded Lipschitz domains
Abstract: We develop a sharp boundary trace theory in arbitrary bounded Lipschitz domains which, in contrast to classical results, allows “forbidden” endpoints and permits the consideration of functions exhibiting very limited regularity. This is done at the (necessary) expense of stipulating an additional regularity condition involving the action of the Laplacian on the functions in question which, nonetheless, works perfectly with the Dirichlet and Neumann realizations. In turn, this boundary trace theory serves as a platform for developing a spectral theory for Schrödinger operators on bounded Lipschitz domains, along with their associated Weyl–Titchmarsh operators.
This talk is based on joint work with Fritz Gesztesy and Marius Mitrea.
Der Vortrag findet im Rahmen eines Zoom-Meetings statt. Bei Interesse an den Zugangsdaten bitte bei Herrn Prof. Mugnolo (delio.mugnolo@fernuni-hagen.de) melden.
