Carleman estimate on a tree for Schrodinger equation and application to an inverse problem

Yibin Ding; Xiang Xu

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arXiv · 2306.06673

Carleman estimate on a tree for Schrodinger equation and application to an inverse problem

Yibin Ding·Xiang Xu

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Abstract

In this paper, by constructing the weight functions, a global Carleman estimate for the Schrodinger equation on a tree is established, with a strong assumption on the solution. And the estimate is able to be applied to derive the Lipschitz stability for an inverse coefficients problem.

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Yibin Ding, Xiang Xu. 2023-06-11. Carleman estimate on a tree for Schrodinger equation and application to an inverse problem. https://arxiv.org/abs/2306.06673

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