9. Jan 2024
Spectral estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
Mathphys Analysis Seminar
Datum: 9. January 2024 |
16:15 –
17:15
Sprecher:
Charlotte Dietze, University of Munich
Veranstaltungsort: Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Sprache:
Englisch
We prove a universal bound for the number of negative eigenvalues of Schrödinger operators with Neumann boundary conditions on bounded Hölder domains, under suitable assumptions on the Hölder exponent and the external potential. Our bound yields same semiclassical behaviour as the Weyl asymptotics for smooth domains. We also discuss different cases where Weyl's law holds and fails.
