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

Autor: Elena Beretta, M. Cristina Cerutti, Luca Ratti
Jazyk: angličtina
Rok vydání: 2021
Předmět:
Zdroj: Mathematics in Engineering, Vol 3, Iss 1, Pp 1-10 (2021)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2021003/fulltext.html
Popis: 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.
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