Reconstruction of rough potentials in the plane
classification
🧮 math.AP
keywords
reconstructionpotentialsbukhgeimcomplex-valuedconvergenceexamplesexponentialextends
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We provide a reconstruction scheme for complex-valued potentials in $H^s (\mathbb{R}^2)$ 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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