High frequency stability estimates for a partial data inverse problem

TL;DR

This paper investigates how high frequency data improves the stability of determining a potential in the Schrödinger equation from boundary measurements, showing increased stability with higher frequencies.

Contribution

It provides new high frequency stability estimates for inverse boundary value problems with partial data, highlighting the effect of frequency on stability.

Findings

Stability estimates improve as frequency increases.

Partial boundary measurements suffice for potential determination.

Higher frequencies lead to more accurate reconstructions.

Abstract

In this article, high frequency stability estimates for the determination of the potential in the Schr\"odinger equation are studied when the boundary measurements are made on slightly more than half the boundary. The estimates reflect the increasing stability property with growing frequency.