Inverse Problems for Nonsmooth First Order Perturbations of the Laplacian

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Identifiability at the boundary for first-order terms (2006, methodology): “[3] and Salo [12] in dimensions of three and higher; and Cheng and Yamamoto [4], Tong et al.”
Electrical impedance tomography and Calderón's problem (2009, background): “Complex geometrical optics for first order equations and systems under different regularity assumptions of the coefficients have been constructed in [98], [101], [137], [72], [113], [112] We refer to the article [112] for the more up to date developments on this topic and the references given there.”
Determining a Magnetic Schrödinger Operator from Partial Cauchy Data (2006, background): “The regularity assumption on the magnetic potential was improved in [13] to C2/3+ǫ, ǫ > 0, and to Dini continuous in [10].”
Inverse problems: seeing the unseen (2014, background): “Complex geometrical optics for first order equations and systems under different regularity assumptions of the coefficients have been constructed in [142,144,162,163,197].”
Partial Cauchy data for general second order elliptic operators in two dimensions (2010, unknown): “The regularity assumptions in the result were improved by Salo in [19].”