Publication:
SIAM Journal on Mathematical Analysis;33,(1), pp. 153-171
Publication type:
Article
Abstract:
We prove results of uniqueness and stability at the boundary for the inverse problem
of electrical impedance tomography in the presence of possibly anisotropic conduct.ivities. We assume that the unknown conductivity has the forrn A = A(x, a(x)), where a(x) is an unknown scalar function and A(x, t) is a given matrix-valued function. We also deduce results of uniqueness in the interior among conductivities A obtained by piecewise analytic perturbations of the scalar term a.
Faucher, Florian; Alessandrini, Giovanni; Barucq, Hélène; de Hoop, Martin V.; Gaburro, Romina; Sincich, Eva(Society of Exploration Geophysicists, 2020)
The quantitative reconstruction of sub-surface Earth properties from the propagation of waves follows an iterative minimization of a misfit functional. In marine seismic exploration, the observed data usually consist of ...
Felea, Raluca; Gaburro, Romina; Nolan, Clifford J.(Society for Industrial and Applied Mathematics, 2013)
In this article we consider four particular cases of Synthetic Aperture
Radar imaging with moving objects. In each case, we analyze
the forward operator F and the normal operator F∗F, which appear
in the mathematical ...
Gaburro, Romina; Nolan, Clifford J.(American Institute of Mathematical Sciences, 2008)
Many imaging methods involve probing a material with a wave and
observing the back-scattered wave. The back-scattered wave measurements are
used to compute an image of the internal structure of the material. Many of
the ...
The problem in Optical Tomography of determining the spacially dependent
absorption coefficient in an anisotropic medium with a-priori known strong
scattering is considered. The problem is modelled by the diffusion ...
