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On reconstruction of complex-valued once differentiable conductivities (1511.08780v4)
Published 27 Nov 2015 in math-ph, math.AP, and math.MP
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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