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Reconstruction of rough potentials in the plane (1811.09481v1)
Published 23 Nov 2018 in math.AP
Abstract: We provide a reconstruction scheme for complex-valued potentials in $Hs (\mathbb{R}2)$ for $s > 0$. The procedure extends the method of Bukhgeim relying on quadratic exponential solutions. We also see how the new reconstruction formulas proposed improve the convergence on a set of examples.
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