High frequency stability estimates for a partial data inverse problem

Abstract

In this article, high frequency stability estimates for the determination of the potential in the Schrödinger 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.

References in corpus (6)

• The stability for the Cauchy problem for elliptic equations
• Exponential instability in the fractional Calderón problem
• Inverse boundary value problem for the Helmholtz equation: quantitative conditional Lipschitz stability estimates
• Stability estimates in a partial data inverse boundary value problem for biharmonic operators at high frequencies
• Increasing stability for the inverse problem for the Schrödinger equation
• Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem