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arXiv · 2010.14180

A note on the partial data inverse problem for a nonlinear magnetic Schr\"odinger operator on Riemann surface

Yilin Ma
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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].

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Yilin Ma. 2020-10-27. A note on the partial data inverse problem for a nonlinear magnetic Schr\"odinger operator on Riemann surface. https://arxiv.org/abs/2010.14180

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