Carleman estimate for telegrapher's equations on a network and application to an inverse problem

Yibin Ding; Xiang Xu

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arXiv · 2306.06666

Carleman estimate for telegrapher's equations on a network and application to an inverse problem

Yibin Ding·Xiang Xu

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Abstract

The main purpose of this work is to study an inverse coefficient problem for the telegrapher's equations on a tree-shaped network. To analyze the stability for this inverse problem, Carleman estimate is established first. Based upon this estimate, a Lipschitz stability is further derived with additional data given on partial boundary.

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Yibin Ding, Xiang Xu. 2023-06-11. Carleman estimate for telegrapher's equations on a network and application to an inverse problem. https://arxiv.org/abs/2306.06666

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