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

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
JournalMathematics in Engineering
StatePublished - 2021

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

Cite this