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arXiv · 2212.14391

Determination of a source term in Schr\"odinger equation with a data taken at final moment of observation

O. Y. Imanuvilov·M. Yamamoto
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Abstract

We establish the Lipshitz stability estimate in inverse problem of determination of a source term or zero order term in the Schr\"odinger 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 Schr\"odinger equation.

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O. Y. Imanuvilov, M. Yamamoto. 2022-12-29. Determination of a source term in Schr\"odinger equation with a data taken at final moment of observation. https://arxiv.org/abs/2212.14391

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