Stable determination of boundaries from cauchy data

E. 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 - 1998

Keywords

  • Inverse problems
  • Stability

ASJC Scopus subject areas

  • Analysis
  • Computational Mathematics
  • Applied Mathematics

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