Geometry and analysis of waves on domains

Oana Ivanovici (Sorbonne U, Paris)

Jun 20. 2023, 15:40 — 16:20

We are concerned with localization properties of solutions to hy- perbolic PDEs, especially problems with a geometric component: how do boundaries affect spreading and concentration of solutions. While our first focus is on wave and Schrodinger equations on manifolds with boundary, strong connexions exist with phase space localization for eigenfunctions, which are of independent interest. Motivations come from nonlinear dispersive models, properties of eigenfunctions in quantum chaos or harmonic analysis on manifolds.

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Spectral Theory and Mathematical Relativity (Thematic Programme)
Piotr T. Chruściel (U of Vienna)
Peter Hintz (ETH Zurich)
Alexander Strohmaier (U Leeds)
Steven Morris Zelditch † (Northwestern U Evanston)