Spectral estimates for Schrödinger operators with Neumann boundary conditions on Hölder domains
Mathphys Analysis Seminar
Date:
Tuesday, January 9, 2024 16:15 - 17:15
Speaker:
Charlotte Dietze (University of Munich)
Location:
Heinzel Seminar Room (I21.EG.101), Office Building West, ISTA
Series:
Mathematics and CS Seminar
Host:
Robert Seiringer
Contact:
Birgit Oosthuizen-Noczil
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.