August 2017 |

12:00 pm Wednesday, September 20, 2017 Spectral Theory Brown Bag Seminar: A Bound for the Eigenvalue Counting Function for Higher-Order Krein Laplacians on Arbitrary Open Setsby Selim Sukhtaiev (Rice University) in HBH 427- We derive a bound for the eigenvalue counting function (for strictly positive eigenvalues) for higher-order Krein Laplacians. The latter are particular self-adjoint extensions of minimally defined, positive integer powers of the Laplacian on arbitrary open, bounded sets. The bound extends to open, finite volume domains of finite width, subject to a compact Sobolev embedding property, and shows the correct high-energy power law behavior familiar from Weyl asymptotics. This is based on joint work with M. Ashbaugh, F. Gesztesy, A. Laptev, and M. Mitrea.
Submitted by damanik@rice.edu |