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
Seminar/Talk
Tags
Mathematics and CS Seminar, mathematical_seminar_ics
Host
Robert Seiringer
Contact
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.