Peer-Reviewed Journal Details
Mandatory Fields
Gaburro R.
2016
January
Rendiconti DellIstituto Di Matematica DellUniversita Di Trieste
Stable determination at the boundary of the optical properties of a medium: The static case
Published
()
Optional Fields
EIT OT Stability at the boundary
48
1
407
431
The problem of the stable determination of the coefficients of second order elliptic partial differential equations arising in inverse problems is considered. Results of uniqueness and stability at the boundary were obtained in [3] and extended in [8, 9] for the conductivity equation. The common features of these papers are the employment of the singular solutions and the monotonicity assumption introduced in [3]. We revisit the techniques adopted in these papers to stably determine the absorption coefficient in anisotropic media by means of Optical Tomography (OT) in the so-called static case. This also shows that the monotonicity assumption is realistic at least in the context of OT.
0049-4704
10.13137/2464-8728/13204
Grant Details