A note on the partial data inverse problem for a nonlinear magnetic Schrödinger operator on Riemann surface

Abstract

We recover a nonlinear magnetic Schrödinger potential from measurement on an arbitrarily small open subset of the boundary on a compact Riemann surface. We assume that the magnetic potential satisfies suitable analytic properties, in which case the recovery can be obtained by a linearisation argument. The proof relies on the complex analytic methods introduced in [15].

7 pages

References in corpus (2)

• Identification of a connection from Cauchy data on a Riemann surface with boundary
• Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations