TY - JOUR
T1 - Determining an anisotropic conductivity by boundary measurements
T2 - Stability at the boundary
AU - Alessandrini, Giovanni
AU - Gaburro, Romina
AU - Sincich, Eva
N1 - Publisher Copyright:
© 2023 The Authors
PY - 2024/2/15
Y1 - 2024/2/15
N2 - We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body Ω⊂Rn, n≥3, by means of the so-called local Neumann-to-Dirichlet map on a curved portion Σ of its boundary ∂Ω. Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in Inverse Problems 33 (2018), 125013, we provide a Hölder stability estimate on Σ when the conductivity is a-priori known to be a constant matrix near Σ.
AB - We consider the inverse problem of determining, the possibly anisotropic, conductivity of a body Ω⊂Rn, n≥3, by means of the so-called local Neumann-to-Dirichlet map on a curved portion Σ of its boundary ∂Ω. Motivated by the uniqueness result for piecewise constant anisotropic conductivities proved in Inverse Problems 33 (2018), 125013, we provide a Hölder stability estimate on Σ when the conductivity is a-priori known to be a constant matrix near Σ.
KW - Anisotropic conductivities
KW - Calderón problem
KW - Stability at the boundary
UR - http://www.scopus.com/inward/record.url?scp=85177078689&partnerID=8YFLogxK
U2 - 10.1016/j.jde.2023.11.001
DO - 10.1016/j.jde.2023.11.001
M3 - Article
AN - SCOPUS:85177078689
SN - 0022-0396
VL - 382
SP - 115
EP - 140
JO - Journal of Differential Equations
JF - Journal of Differential Equations
ER -