Stability of determining the potential from partial boundary data in a Schr\"odinger equation in the high frequency limit

TL;DR

This paper proves stability inequalities for recovering a potential in a Schrödinger equation from partial boundary data at high frequencies, assuming the potential is known near the boundary.

Contribution

It introduces new stability estimates for inverse boundary value problems in the high frequency regime with partial data.

Findings

Stability inequalities are established for potential recovery.

Results depend on the potential being known near the boundary.

Applicable in high frequency limit scenarios.

Abstract

We establish stability inequalities for the problem of determining the potential, appearing in a Sch\"odinger equation, from partial boundary data in the high frequency limit. These stability inequalities hold under the assumption that the potential is known near the boundary of the domain under consideration.