Stability and uniqueness for a two-dimensional inverse boundary value problem for less regular potentials

Abstract

We consider inverse boundary value problems for the Schrodinger equations in two dimensions. Within less regular classes of potentials, we establish a conditional stability estimate of logarithmic order. Moreover we prove the uniqueness within $L^p$-class of potentials with $p>2$.

References in corpus (2)

• A global stability estimate for the Gel'fand-Calderon inverse problem in two dimensions
• Global uniqueness and reconstruction for the multi-channel Gel'fand-Calderón inverse problem in two dimensions

Cited by in corpus (9)

• The Calderón problem for the fractional Schrödinger equation
• The fractional Calderón problem: low regularity and stability
• Calderón's Inverse Problem with a Finite Number of Measurements
• Unique determination of the shape of a scattering screen from a passive measurement
• On the Calderòn problem in periodic cylindrical domain with partial Dirichlet and Neumann data
• Recovery of $L^p$-potential in the plane
• The Born approximation for the fixed energy Calderón problem
• Unique determination of a magnetic Schrödinger operator with unbounded magnetic potential from boundary data
• Stable factorization of the Calderón problem via the Born approximation