New global stability estimates for the Gel'fand-Calderon inverse problem

Abstract

We prove new global stability estimates for the Gel'fand-Calderon inverse problem in 3D. For sufficiently regular potentials this result of the present work is a principal improvement of the result of [G. Alessandrini, Stable determination of conductivity by boundary measurements, Appl. Anal. 27 (1988), 153-172].

References in corpus (2)

• The d-bar approach to approximate inverse scattering at fixed energy in three dimensions
• Formulas and equations for finding scattering data from the Dirichlet-to-Neumann map with nonzero background potential

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• Stability estimates for an inverse problem for the Schrödinger equation at negative energy in two dimensions
• New global stability estimates for the Calderón problem in two dimensions
• Hölder-logarithmic stability in Fourier synthesis
• Effectivized Holder-logarithmic stability estimates for the Gel'fand inverse problem
• Inverse problem by Cauchy data on arbitrary subboundary for system of elliptic equations
• Global stability for the multi-channel Gel'fand-Calderón inverse problem in two dimensions
• Energy and regularity dependent stability estimates for near-field inverse scattering in multidimensions
• The Born approximation for the fixed energy Calderón problem