Carleman estimate on a tree for Schrodinger equation and application to an inverse problem
Analysis of PDEs
2023-06-13 v1
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.
Cite
@article{arxiv.2306.06673,
title = {Carleman estimate on a tree for Schrodinger equation and application to an inverse problem},
author = {Yibin Ding and Xiang Xu},
journal= {arXiv preprint arXiv:2306.06673},
year = {2023}
}