An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation

Ru-Yu Lai; Ting Zhou

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arXiv · 2103.08180

An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation

Ru-Yu Lai·Ting Zhou

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Abstract

In this paper, we study forward problem and inverse problem for the fractional magnetic Schrodinger equation with nonlinear electric potential. We first investigate the maximum principle for the linearized equation and apply it to show that the problem is well-posed under suitable assumptions on the exterior data. Moreover, we explore uniqueness of recovery of both magnetic and electric potentials.

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Ru-Yu Lai, Ting Zhou. 2021-03-15. An Inverse Problem for Non-linear Fractional Magnetic Schrodinger Equation. https://arxiv.org/abs/2103.08180

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