QUANTIFICATION OF THE UNIQUE CONTINUATION PROPERTY FOR THE NONSTATIONARY STOKES PROBLEM

被引：3

作者：

Boulakia, Muriel ^{[1
]}

机构：

[1] Univ Paris 06, Sorbonne Univ, UMR 7598, LJLL, F-75005 Paris, France

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2016年 / 6卷 / 01期

基金：

美国国家科学基金会;

关键词：

Inverse problems; identification of parameters; unique continuation property; unsteady Stokes system; ROBIN COEFFICIENT; BLOOD-FLOW; STABILITY; EQUATION; SYSTEM; THEOREM;

D O I：

10.3934/mcrf.2016.6.27

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The purpose of this work is to establish stability estimates for the unique continuation property of the nonstationary Stokes problem. These estimates hold without prescribing boundary conditions and are of logarithmic type. They are obtained thanks to Carleman estimates for parabolic and elliptic equations. Then, these estimates are applied to an inverse problem where we want to identify a Robin coefficient defined on some part of the boundary from measurements available on another part of the boundary.

引用

页码：27 / 52

页数：26

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