A note on the partial data inverse problem for a nonlinear magnetic Schr\'odinger operator on Riemann surface
- Resource Type
- Working Paper
- Authors
- Ma, Yilin
- Source
- Subject
- Mathematics - Analysis of PDEs
35R30
- Language
We recover a nonlinear magnetic Schr\"odinger 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].
Comment: 7 pages