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arXiv · 2007.02475

Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations

Ru-Yu Lai·Ting Zhou
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Abstract

We prove that the knowledge of the Dirichlet-to-Neumann map, measured on a part of the boundary of a bounded domain in $\mathbb{R}^n, n\geq2$, can uniquely determine, in a nonlinear magnetic Schrödinger equation, the vector-valued magnetic potential and the scalar electric potential, both being nonlinear in the solution.

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Ru-Yu Lai, Ting Zhou. 2020-07-06. Partial Data Inverse Problems for Nonlinear Magnetic Schrödinger Equations. https://arxiv.org/abs/2007.02475

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