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We consider a partial data inverse problem with unbounded potentials. Ratherthan rely on functional analytic arguments or Carleman estimates, we constructan explicit Green's function with which we construct complex geometric optics(CGO) solutions and show unique determinability of potentials in $L^{n/2}$ forthe Schr\"odinger equation with partial Neumann data.

An Inverse Problem with Partial Neumann Data and $L^{n/2}$ Potentials