Microlocal Analysis of the Klein-Gordon equation with spatial potentials

Moritz Doll (U Melbourne)

Jul 20. 2023, 09:30 — 10:20

We consider the Klein-Gordon equation on Minkowski space with a spatial potential that decays as |x|^{-1} at infinity.
Building on previous work of Vasy for many-body scattering, we show that the Klein-Gordon operator admits a description as a non-elliptic Fredholm operator as a map between anisotropic Sobolev spaces.

The talk is based on ongoing joint work with Dean Baskin and Jesse Gell-Redman

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)