STABLE RECOVERY OF A NON-COMPACTLY SUPPORTED COEFFICIENT OF A SCHRODINGER EQUATION ON AN INFINITE WAVEGUIDE

被引：1

作者：

Soussi, Yosra ^{[1
,2
]}

机构：

[1] Univ Tunis El Manar, Ecole Natl Ingn Tunis, ENIT LAMSIN, BP 37, Tunis 1002, Tunisia

[2] Aix Marseille Univ, Univ Toulon, CPT, CNRS, Marseille, France

来源：

INVERSE PROBLEMS AND IMAGING | 2021年 / 15卷 / 05期

关键词：

stability estimate; Schrodinger equation; electric potential; Dirichlet-to-Neumann map; infinite cylindrical waveguide; partial data; Carleman's estimate; Inverse  problem; CALDERON PROBLEM; INVERSE PROBLEMS; PARTIAL DIRICHLET; STABILITY RESULT; POTENTIALS; UNIQUENESS;

D O I：

10.3934/ipi.2021022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the stability issue for the inverse problem of determining a coefficient appearing in a Schrodinger equation defined on an infinite cylin-drical waveguide. More precisely, we prove the stable recovery of some general class of non-compactly and non periodic coefficients appearing in an unbounded cylindrical domain. We consider both results of stability from full and partial boundary measurements associated with the so called Dirichlet-to-Neumann map.

引用

页码：929 / 950

页数：22

共 40 条

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