Peer-Reviewed Journal Details
Mandatory Fields
Foschiatti, S;Gaburro, R;Sincich, E
2021
December
Inverse Problems
Stability for the Calderon's problem for a class of anisotropic conductivities via an ad hoc misfit functional
Published
3 ()
Optional Fields
BOUNDARY-VALUE PROBLEM ELECTRICAL-IMPEDANCE TOMOGRAPHY LIPSCHITZ STABILITY INVERSE PROBLEM HELMHOLTZ-EQUATION ELLIPTIC-EQUATIONS GLOBAL UNIQUENESS DIRICHLET MANIFOLDS PLANE
37
We address the stability issue in CalderOn's problem for a special class of anisotropic conductivities of the form sigma = gamma A in a Lipschitz domain Omega subset of R-n, n >= 3, where A is a known Lipschitz continuous matrix-valued function and gamma is the unknown piecewise affine scalar function on a given partition of Omega. We define an ad hoc misfit functional encoding our data and establish stability estimates for this class of anisotropic conductivity in terms of both the misfit functional and the more commonly used local Dirichlet-to-Neumann map.
BRISTOL
0266-5611
10.1088/1361-6420/ac349c
Grant Details