Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary datay

Elena Beretta, M. Cristina Cerutti, Luca Ratti

Research output: Contribution to journalArticlepeer-review

Abstract

We consider an inverse problem regarding the detection of small conductivity inhomogeneities in a boundary value problem for a semilinear elliptic equation. For such a problem, that is related to cardiac electrophysiology, an asymptotic expansion for the boundary potential due to the presence of small conductivity inhomogeneities was established in [4]. Starting from this we derive Lipschitz continuous dependence estimates for the corresponding inverse problem.

Original languageEnglish (US)
Pages (from-to)1-10
Number of pages10
JournalMathematics In Engineering
Volume3
Issue number1
DOIs
StatePublished - 2021

Keywords

  • Inverse problem
  • Semilinear elliptic equation
  • Stability estimate

ASJC Scopus subject areas

  • Applied Mathematics
  • Mathematical Physics
  • Analysis

Fingerprint Dive into the research topics of 'Lipschitz stable determination of small conductivity inclusions in a semilinear equation from boundary datay'. Together they form a unique fingerprint.

Cite this