New global stability estimates for the Gel'fand-Calderon inverse problem
Roman Novikov (CMAP)
TL;DR
This paper establishes new global stability estimates for the 3D Gel'fand-Calderon inverse problem, significantly improving previous results for regular potentials and advancing the understanding of inverse boundary value problems.
Contribution
It provides novel stability estimates for the Gel'fand-Calderon problem in three dimensions, enhancing prior results for regular potentials.
Findings
New stability estimates for 3D Gel'fand-Calderon problem
Improves upon previous stability results for regular potentials
Advances theoretical understanding of inverse boundary value problems
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].
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