On some geometric inverse problems for nonscalar elliptic systems

被引：0

作者：

Araujo, Raul K. C. ^{[1
]}

Fernandez-Cara, Enrique ^{[2
]}

Souza, Diego A. ^{[1
]}

机构：

[1] Univ Fed Pernambuco, Dept Math, UFPE, BR-50740545 Recife, PE, Brazil

[2] Univ Seville, Dept EDAN, Aptdo 1160, Seville 41080, Spain

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 269卷 / 11期

关键词：

Inverse problems; Nonscalar elliptic systems; Unique continuation; Domain variation techniques; Reconstruction; IDENTIFICATION;

D O I：

10.1016/j.jde.2020.06.040

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we consider several geometric inverse problems for linear elliptic systems. We prove uniqueness and stability results. In particular, we show the way that the observation depends on the perturbations of the domain. In some particular situations, this provides a strategy that could be used to compute approximations to the solution of the inverse problem. In the proofs, we use techniques related to (local) Carleman estimates and differentiation with respect to the domain. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：9123 / 9143

页数：21

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