Stable determination of corrosion by a single electrostatic boundary measurement

被引：66

作者：

Alessandrini, G ^{[1
]}

Del Piero, L ^{[1
]}

Rondi, L ^{[1
]}

机构：

[1] Univ Trieste, Dipartimento Sci Matemat, I-34127 Trieste, Italy

来源：

INVERSE PROBLEMS | 2003年 / 19卷 / 04期

关键词：

D O I：

10.1088/0266-5611/19/4/312

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an optimal stability estimate for an inverse Robin boundary value problem arising in corrosion detection by electrostatic boundary measurements.

引用

页码：973 / 984

页数：12

共 19 条

[1] Stable determination of a crack in a planar inhomogeneous conductor
Alessandrini, G
Rondi, L
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 30 (02) : 326 - 340
[2] ELLIPTIC-EQUATIONS IN DIVERGENCE FORM, GEOMETRIC CRITICAL-POINTS OF SOLUTIONS, AND STEKLOFF EIGENFUNCTIONS
ALESSANDRINI, G
MAGNANINI, R
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (05) : 1259 - 1268
[3] Optimal stability for the inverse problem of multiple cavities
Alessandrini, G
Rondi, L
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2001, 176 (02) : 356 - 386
[4] ALESSANDRINI G, 1993, INVERSE PROBLEMS MAT, P1
[5] [Anonymous], 1986, AM MATH SOC, DOI DOI 10.1090/S0894-0347-1992-1124979-1
[6] BERS L, 1964, PARIAL DIFFERENTIAL
[7] Bers L., 1955, CONVEGNO INT EQUAZIO, P111
[8] Identification of Robin coefficients by the means of boundary measurements
Chaabane, S
Jaoua, M
[J]. INVERSE PROBLEMS, 1999, 15 (06) : 1425 - 1438
[9] Di Cristo M, 2003, INVERSE PROBL, V19, P685, DOI 10.1088/0266-5611/19/3/313
[10] An inverse Robin problem for Laplace's equation: theoretical results and numerical methods
Fasino, D
Inglese, G
[J]. INVERSE PROBLEMS, 1999, 15 (01) : 41 - 48

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