Logarithmic Stability for Coefficients Inverse Problem of Coupled Schr\"{o}dinger Equations
Analysis of PDEs
2019-07-24 v1
Abstract
In this paper, we study an inverse coefficients problem for two coupled Schr\"{o}dinger 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 Schr\"{o}dinger equations and coupled heatn equations, and the Fourier-Bros-Iagolnitzer transform.
Keywords
Cite
@article{arxiv.1812.07820,
title = {Logarithmic Stability for Coefficients Inverse Problem of Coupled Schr\"{o}dinger Equations},
author = {Fangfang Dou and Masahiro Yamamoto},
journal= {arXiv preprint arXiv:1812.07820},
year = {2019}
}