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math.AP2023
Carleman estimate on a tree for Schrodinger equation and application to an inverse problem
Yibin Ding, Xiang Xu
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…
math.AP2023
Carleman estimate for telegrapher's equations on a network and application to an inverse problem
Yibin Ding, Xiang Xu
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…