Ali Feizmohammadi

The planar Calder\'on problem for $L^p$ potentials

We prove that the Dirichlet-to-Neumann map associated to the Schr\"odinger operator $-\Delta+q$ on a planar bounded Lipschitz domain uniquely determines an arbitrary complex-valued potential $q\in L^p$, $p>1$, whenever zero is not a Dirichlet eigenvalue. Our argument uses Nachman's d-bar equation only at sufficiently l...