Premium
Stable determination of an inclusion in a layered medium
Author(s) -
Di Cristo Michele,
Ren Yong
Publication year - 2018
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4917
Subject(s) - mathematics , logarithm , inclusion (mineral) , stability (learning theory) , boundary (topology) , inverse , mathematical analysis , conductor , type (biology) , geometry , thermodynamics , physics , computer science , ecology , machine learning , biology
We consider the inverse problem of detecting an inclusion in conductor through electrostatic measurements taken on the boundary. We analyze in particular the stability issue showing that the solution depends from the available data with a rate of continuity of logarithmic type.