A note on the partial data inverse problem for a nonlinear magnetic Schr\"odinger operator on Riemann surface
Analysis of PDEs
2020-10-28 v1
Abstract
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].
Cite
@article{arxiv.2010.14180,
title = {A note on the partial data inverse problem for a nonlinear magnetic Schr\"odinger operator on Riemann surface},
author = {Yilin Ma},
journal= {arXiv preprint arXiv:2010.14180},
year = {2020}
}
Comments
7 pages