Conferences - Seminars
What does the average eigenvalue know?
By Evans Harrell (Georgia Institute of Technology)
The average of the first k eigenvalues of a self-adjoint operator, as a function of k, has implications for inverse problems. What information does it contain about an operator, or about the shape of a domain or graph on which the operator is defined? I'll describe some recently developed tools for approaching inverse problems through averages of eigenvalues, with selected applications to PDEs on domains and manifolds and to graphs. This work is joint with J. Stubbe of EPFL and, in part, A. El Soufi and S. Ilias of the University of Tours, and J. Dever of Georgia Tech.
Organization Joachim Stubbe
Accessibility Informed public