Stable determination of cavities in elastic bodies

被引：43

作者：

Morassi, A

Rosset, E

机构：

[1] Univ Udine, Dipartimento Georisorse & Terr, I-33100 Udine, Italy

[2] Univ Trieste, Dipartimento Sci Matemat, I-34100 Trieste, Italy

来源：

INVERSE PROBLEMS | 2004年 / 20卷 / 02期

关键词：

D O I：

10.1088/0266-5611/20/2/010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a conditional stability estimate for the inverse problem of determining either cavities inside an elastic body Omega or unknown boundary portions, from a single measurement of traction and displacement taken on the accessible part of the exterior boundary of Omega.

引用

收藏

页码：453 / 480

页数：28

相关论文

共 27 条

[1]

Adolfsson V, 1997, COMMUN PUR APPL MATH, V50, P935, DOI 10.1002/(SICI)1097-0312(199710)50:10<935::AID-CPA1>3.0.CO

[2]

2-H

[3] ESTIMATES NEAR BOUNDARY FOR SOLUTIONS OF ELLIPTIC PARTIAL DIFFERENTIAL EQUATIONS SATISFYING GENERAL BOUNDARY CONDITIONS .2. [J].

AGMON, S ;

DOUGLIS, A ;

NIRENBERG, L .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1964, 17 (01) :35-&

[4] Examples of instability in inverse boundary-value problems [J].

Alessandrini, G .

INVERSE PROBLEMS, 1997, 13 (04) :887-897

[5] Detecting cavities by electrostatic boundary measurements [J].

Alessandrini, G ;

Morassi, A ;

Rosset, E .

INVERSE PROBLEMS, 2002, 18 (05) :1333-1353

[6] Detecting an inclusion in an elastic body boundary measurements [J].

Alessandrini, G ;

Morassi, A ;

Rosset, E .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2002, 33 (06) :1247-1268

[7] Strong unique continuation for the Lame system of elasticity [J].

Alessandrini, G ;

Morassi, A .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2001, 26 (9-10) :1787-1810

[8] Optimal stability for the inverse problem of multiple cavities [J].

Alessandrini, G ;

Rondi, L .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (02) :356-386

[9] Optimal size estimates for the inverse conductivity problem with one measurement [J].

Alessandrini, G ;

Rosset, E ;

Seo, JK .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (01) :53-64

[10] The inverse conductivity problem with one measurement: Bounds on the size of the unknown object [J].

Alessandrini, G ;

Rosset, E .

SIAM JOURNAL ON APPLIED MATHEMATICS, 1998, 58 (04) :1060-1071