论文标题

确定Schrödinger方程中的源术语,并在最后观察时刻获取数据

Determination of a source term in Schrödinger equation with a data taken at final moment of observation

论文作者

Imanuvilov, O. Y., Yamamoto, M.

论文摘要

在某些非捕获假设下,我们在schrödinger方程中确定源项或零订单项的反面问题中建立了Lipshitz稳定性估计。基于此结果,我们确定了确定对应于Schrödinger方程中零订单项的实值系数的Lipshitz稳定性。

We establish the Lipshitz stability estimate in inverse problem of determination of a source term or zero order term in the Schrödinger equation with time-dependent coefficients under some non-trapping assumption. Based on this result we established the Lipshitz stability of the determination of a real-valued coefficient corresponding to zero-th order term in the Schrödinger equation.

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