Stable determination of boundaries from cauchy data

Elena Beretta, S. Vessella

    Research output: Contribution to journalArticle

    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 languageEnglish (US)
    Pages (from-to)220-232
    Number of pages13
    JournalSIAM Journal on Mathematical Analysis
    Volume30
    Issue number1
    DOIs
    StatePublished - Jan 1 1998

    Fingerprint

    Cauchy
    Electrostatics
    Corrosion
    Continuous Dependence
    Ill-posed Problem
    Logarithmic
    Context

    Keywords

    • Inverse problems
    • Stability

    ASJC Scopus subject areas

    • Analysis
    • Computational Mathematics
    • Applied Mathematics

    Cite this

    Stable determination of boundaries from cauchy data. / Beretta, Elena; Vessella, S.

    In: SIAM Journal on Mathematical Analysis, Vol. 30, No. 1, 01.01.1998, p. 220-232.

    Research output: Contribution to journalArticle

    Beretta, Elena ; Vessella, S. / Stable determination of boundaries from cauchy data. In: SIAM Journal on Mathematical Analysis. 1998 ; Vol. 30, No. 1. pp. 220-232.
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