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

2023/06/11 by Ding, Yibin, Xu, Xiang
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.2306.06673

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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