Seminar: The anisotropic Calderón problem at high frequency
Suman Kumar Sahoo (University of Jyvaskyla, Finland)
| Speaker |
Suman Kumar Sahoo (University of Jyvaskyla, Finland)
|
|---|---|
| When |
Jul 12, 2023
from 04:00 PM to 05:00 PM |
| Where | LH-111 (TIFR CAM) |
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Title
The anisotropic Calderón problem at high frequency.
Abstract
We consider an inverse problem of recovering a potential from the Dirichlet to Neumann map associated to a high-frequency linear Schrodinger equation on certain Riemannian manifolds. Here we extend the previous work of G. Uhlmann and Y. Wang to the case of simple manifolds, and more generally to manifolds, where the geodesic ray transform is stably invertible. We also discuss a similar problem corresponding to a nonlinear Schrodinger equation at high frequency. The argument involves an invariant construction of Gaussian beam quasimodes with uniform bounds for the constants.