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arXiv · 2110.14041

A remark on inverse problems for nonlinear magnetic Schr\"odinger equations on complex manifolds

Katya Krupchyk·Gunther Uhlmann·Lili Yan
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Abstract

We show that the knowledge of the Dirichlet--to--Neumann map for a nonlinear magnetic Schr\"odinger operator on the boundary of a compact complex manifold, equipped with a K\"ahler metric and admitting sufficiently many global holomorphic functions, determines the nonlinear magnetic and electric potentials uniquely.

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Katya Krupchyk, Gunther Uhlmann, Lili Yan. 2021-10-26. A remark on inverse problems for nonlinear magnetic Schr\"odinger equations on complex manifolds. https://arxiv.org/abs/2110.14041

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