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SIAM Journal on Mathematical Analysis
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Preprint . 2010
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Article . 2010
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SIAM Journal on Mathematical Analysis
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Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2010Embargo end date: 01 Apr 2010 Italy English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:SIAM Journal on Mathematical Analysis, volume 42, pages 2,922-2,943 (issn: 0036-1410, eissn: 1095-7154, Copyright policy )
Authors: SINCICH, EVA;

doi: 10.1137/100788343 , 10.48550/arxiv.1004.2246

arXiv: 1004.2246

handle: 11368/2540351

Stability for the Determination of Unknown Boundary and Impedance with a Robin Boundary Condition

Abstract

We consider an inverse problem arising in corrosion detection. We prove a stability result of logarithmic type for the determination of the corroded portion of the boundary and impedance by two measurements on the accessible portion of the boundary.

Country
Italy
Related Organizations
Keywords

Mathematics - Analysis of PDEs, Stability; Robin boundary, FOS: Mathematics, Robin boundary, Stability, Analysis of PDEs (math.AP)

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 20
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    		 Top 10%
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
20
Top 10%
Top 10%
Top 10%
Green
bronze