Stable determination of boundaries from cauchy data

E. Beretta; S. Vessella

doi:10.1137/S0036141097325733

Stable determination of boundaries from cauchy data

E. Beretta, S. Vessella

Mathematics

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

Abstract

The problem of determining a portion Γ of the boundary of a bounded planar domain Ω from Cauchy data arises in several contexts, for example, such as in corrosion detection from electrostatic measurements. We investigate this severely ill-posed problem establishing logarithmic continuous dependence of Γ from Cauchy data.

Original language	English (US)
Pages (from-to)	220-232
Number of pages	13
Journal	SIAM Journal on Mathematical Analysis
Volume	30
Issue number	1
DOIs	https://doi.org/10.1137/S0036141097325733
State	Published - 1998

Keywords

Inverse problems
Stability

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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10.1137/S0036141097325733

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title = "Stable determination of boundaries from cauchy data",

abstract = "The problem of determining a portion Γ of the boundary of a bounded planar domain Ω from Cauchy data arises in several contexts, for example, such as in corrosion detection from electrostatic measurements. We investigate this severely ill-posed problem establishing logarithmic continuous dependence of Γ from Cauchy data.",

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author = "E. Beretta and S. Vessella",

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AU - Vessella, S.

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KW - Stability

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Stable determination of boundaries from cauchy data

Abstract

Keywords

ASJC Scopus subject areas

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