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arxiv: 1002.0153 · v3 · pith:TLPCLH3Qnew · submitted 2010-01-31 · 🧮 math.AP · math-ph· math.MP

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

classification 🧮 math.AP math-phmath.MP
keywords estimatesfand-calderonglobalinverseproblemresultstabilityalessandrini
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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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