On reconstruction of complex-valued once differentiable conductivities
Evgeny Lakshtanov
Universidade de Aveiro, PortugalBoris Vainberg
University of North Carolina-Charlotte, United States
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Abstract
The classical -method has been generalized recently ([13] and [14]) to be used in the presence of exceptional points. We apply this generalization to solve Dirac inverse scattering problem with weak assumptions on smoothness of potentials. As a consequence, this provides an effective method of reconstruction of complex-valued one time differentiable conductivities in the inverse impedance tomography problem.
Cite this article
Evgeny Lakshtanov, Boris Vainberg, On reconstruction of complex-valued once differentiable conductivities. J. Spectr. Theory 6 (2016), no. 4, pp. 881–902
DOI 10.4171/JST/146