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math.AP2018★ 2 cited
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.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…