Uniqueness for the inverse Schrödinger problem in the plane with $L^p$ potentials, $p>1$

Cătălin I. Cârstea, Jenn-Nan Wang

Let $\Omega \subset {\mathbb{R}}^2$ be a bounded smooth domain. We prove that the weak Dirichlet-to-Neumann map for $-\Delta +V$ uniquely determines every complex-valued potential $V\in L^p(\Omega )$, $…