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arXiv · 1511.08780

On reconstruction of complex-valued once differentiable conductivities

Evgeny Lakshtanov·Boris Vainberg
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Abstract

The classical $\overline \partial$-method has been generalized recently [lnv], [lnv2] 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.

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Evgeny Lakshtanov, Boris Vainberg. 2015-11-27. On reconstruction of complex-valued once differentiable conductivities. https://arxiv.org/abs/1511.08780

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