Stability estimate for the discrete Calderon problem from partial data

Autor:	Zhao, Xiaomeng, Yuan, Ganghua
Rok vydání:	2024
Předmět:	Mathematics - Analysis of PDEs 35R30 35J25 65N06
Druh dokumentu:	Working Paper
Popis:	In this paper, we focus on the analysis of discrete versions of the Calderon problem with partial boundary data in dimension d >= 3. In particular, we establish logarithmic stability estimates for the discrete Calderon problem on an arbitrarily small portion of the boundary under suitable a priori bounds. For this end, we will use CGO solutions and derive a new discrete Carleman estimate and a key unique continuation estimate. Unlike the continuous case, we use a new strategy inspired by [32] to prove the key discrete unique continuation estimate by utilizing the new Carleman estimate with boundary observations for a discrete Laplace operator. Comment: 41 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2405.06920 Zobrazit plný text záznamu View this record from Arxiv