Linearized Calderón problem and exponentially accurate quasimodes for analytic manifolds

Abstract: I will discuss a new method for the linearized anisotropic Calderón problem on cylindrical Riemannian manifolds. I will present our recent result with Katya Krupchyk and Mikko Salo, arxiv.org/abs/2009.05699. Crucial ingredients in the proof of our result are the construction of Gaussian beam quasimodes with exponentially small errors, as well as the FBI transform characterization of the analytic wave front set. These might have applications in other inverse problems as well.

Mathematics

Audience: researchers in the topic

International Zoom Inverse Problems Seminar, UC Irvine