A global stability estimate for the Gel'fand-Calderón inverse problem in two dimensions

Roman Novikov; Matteo Santacesaria

doi:10.1515/JIIP.2011.003

A global stability estimate for the Gel'fand-Calderón inverse problem in two dimensions

Roman Novikov
, Matteo Santacesaria

Ecole polytechnique

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a global logarithmic stability estimate for the Gel'fand-Calderón inverse problem on a two-dimensional domain.

Original language	English
Pages (from-to)	765-785
Number of pages	21
Journal	Journal of Inverse and Ill-Posed Problems
Volume	18
Issue number	7
DOIs	https://doi.org/10.1515/JIIP.2011.003
Publication status	Published - 1 Dec 2010

Keywords

Gel'fand-Calderón inverse problem
Global stability in 2D

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10.1515/JIIP.2011.003

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title = "A global stability estimate for the Gel'fand-Calder{\'o}n inverse problem in two dimensions",

abstract = "We prove a global logarithmic stability estimate for the Gel'fand-Calder{\'o}n inverse problem on a two-dimensional domain.",

keywords = "Gel'fand-Calder{\'o}n inverse problem, Global stability in 2D",

author = "Roman Novikov and Matteo Santacesaria",

year = "2010",

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AU - Santacesaria, Matteo

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N2 - We prove a global logarithmic stability estimate for the Gel'fand-Calderón inverse problem on a two-dimensional domain.

AB - We prove a global logarithmic stability estimate for the Gel'fand-Calderón inverse problem on a two-dimensional domain.

KW - Gel'fand-Calderón inverse problem

KW - Global stability in 2D

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DO - 10.1515/JIIP.2011.003

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JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

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ER -

A global stability estimate for the Gel'fand-Calderón inverse problem in two dimensions

Abstract

Keywords

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