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Title: Stable determination at the boundary of the optical properties of a medium: the static case
Authors: Gaburro, Romina
Keywords: Stability at the boundaryEITOT
Issue Date: 2016
Publisher: EUT Edizioni Università di Trieste
Series/Report no.: 48 (2016)
Abstract: Abstract. 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.
ISSN: 0049-4704
eISSN: 2464-8728
DOI: 10.13137/2464-8728/13204
Appears in Collections:Rendiconti dell’Istituto di matematica dell’Università di Trieste: an International Journal of Mathematics vol.48 (2016)

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