3 papers
math.AP2018
Reconstruction of rough potentials in the plane
Jorge Tejero
We provide a reconstruction scheme for complex-valued potentials in for . The procedure extends the method of Bukhgeim relying on quadratic exponential…
math-ph2017
Uniqueness in the inverse conductivity problem for complex-valued Lipschitz conductivities in the plane
Evgeny Lakshtanov, Jorge Tejero, Boris Vainberg
We consider the impedance tomography problem in the plane. Using Bukhgeim's scattering data for the Dirac problem, we prove that the conductivity is uniquely determined by the Diri…
math.AP2016
Reconstruction and stability for piecewise smooth potentials in the plane
Jorge Tejero
We show that potentials with jump discontinuities can be recovered from the Dirichlet-to-Neumann map using Bukhgeim's method. Combining with known formulas, this enables the recove…