Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

Mikhail I. Isaev; Roman G. Novikov

doi:10.1515/jip-2012-0024

Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

Mikhail I. Isaev
, Roman G. Novikov

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

Abstract

We prove new global Hölder-logarithmic stability estimates for the Gel'fand inverse problem at fixed energy in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. Comparisons with preceding results in this direction are given.

Original language	English
Pages (from-to)	313-325
Number of pages	13
Journal	Journal of Inverse and Ill-Posed Problems
Volume	20
Issue number	3
DOIs	https://doi.org/10.1515/jip-2012-0024
Publication status	Published - 1 Sept 2012

Keywords

Inverse boundary value problems
Stability estimates

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10.1515/jip-2012-0024

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title = "Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions",

abstract = "We prove new global H{\"o}lder-logarithmic stability estimates for the Gel'fand inverse problem at fixed energy in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. Comparisons with preceding results in this direction are given.",

keywords = "Inverse boundary value problems, Stability estimates",

author = "Isaev, \{Mikhail I.\} and Novikov, \{Roman G.\}",

year = "2012",

month = sep,

day = "1",

doi = "10.1515/jip-2012-0024",

language = "English",

volume = "20",

pages = "313--325",

journal = "Journal of Inverse and Ill-Posed Problems",

issn = "0928-0219",

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TY - JOUR

T1 - Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

AU - Isaev, Mikhail I.

AU - Novikov, Roman G.

PY - 2012/9/1

Y1 - 2012/9/1

N2 - We prove new global Hölder-logarithmic stability estimates for the Gel'fand inverse problem at fixed energy in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. Comparisons with preceding results in this direction are given.

AB - We prove new global Hölder-logarithmic stability estimates for the Gel'fand inverse problem at fixed energy in dimension d ≥ 3. Our estimates are given in uniform norm for coefficient difference and related stability efficiently increases with increasing energy and/or coefficient regularity. Comparisons with preceding results in this direction are given.

KW - Inverse boundary value problems

KW - Stability estimates

UR - https://www.scopus.com/pages/publications/84869484667

U2 - 10.1515/jip-2012-0024

DO - 10.1515/jip-2012-0024

M3 - Article

AN - SCOPUS:84869484667

SN - 0928-0219

VL - 20

SP - 313

EP - 325

JO - Journal of Inverse and Ill-Posed Problems

JF - Journal of Inverse and Ill-Posed Problems

IS - 3

ER -

Energy and regularity dependent stability estimates for the Gel'fand inverse problem in multidimensions

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Keywords

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