Low Eigenvalues of Laplace and Schrödinger Operators
Mark Ashbaugh
University of Missouri, Columbia, USARafael Benguria
Pontificia Universidad Católica de Chile, Santiago de Chile, ChileRichard Laugesen
University of Illinois, Urbana, USATimo Weidl
Universität Stuttgart, Germany
Abstract
This workshop brought together researchers interested in eigenvalue problems for Laplace and Schrödinger operators. The main topics o of discussions and investigations covered Dirichlet and Neumann eigenvalue problems, inequalities for the spectral gap, isoperimertic problems and sharp Lieb–Thirring type inequalities. The focus included not only the analytic and geometric sides of the problems, but also related probabilistic and computational aspects.
Cite this article
Mark Ashbaugh, Rafael Benguria, Richard Laugesen, Timo Weidl, Low Eigenvalues of Laplace and Schrödinger Operators. Oberwolfach Rep. 6 (2009), no. 1, pp. 355–428
DOI 10.4171/OWR/2009/06