Carleman estimate for telegrapher's equations on a network and application to an inverse problem
Analysis of PDEs
2023-06-13 v1
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.
Keywords
Cite
@article{arxiv.2306.06666,
title = {Carleman estimate for telegrapher's equations on a network and application to an inverse problem},
author = {Yibin Ding and Xiang Xu},
journal= {arXiv preprint arXiv:2306.06666},
year = {2023}
}