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arXiv · 1812.07820

Logarithmic Stability for Coefficients Inverse Problem of Coupled Schrödinger Equations

Fangfang Dou·Masahiro Yamamoto
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Abstract

In this paper, we study an inverse coefficients problem for two coupled Schrödinger equations with an observation of one component of the solution. The observation is done in a nonempty open subset of the domain where the equations hold. A logarithmic type stability result is obtained. The main method is based on the Carleman estimate for coupled Schrödinger equations and coupled heatn equations, and the Fourier-Bros-Iagolnitzer transform.

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Fangfang Dou, Masahiro Yamamoto. 2018-12-19. Logarithmic Stability for Coefficients Inverse Problem of Coupled Schrödinger Equations. https://doi.org/10.1088/1361-6420%2Fab0b6a

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