Stable determination of an inclusion by boundary measurements

被引：38

作者：

Alessandrini, G ^{[1
]}

Di Cristo, M

机构：

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

[2] Politecn Milan, Dipartimento Matemat, I-20133 Milan, Italy

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2005年 / 37卷 / 01期

关键词：

Dirichlet-to-Neumann map; discontinuous conductivity; optimal stability;

D O I：

10.1137/S003614100444191X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with the problem of determining an inclusion within an electrical conductor from electrical boundary measurements. Under mild a priori assumptions we establish an optimal stability estimate.

引用

页码：200 / 217

页数：18

共 22 条

[11] ON UNIQUENESS OF RECOVERY OF A DISCONTINUOUS CONDUCTIVITY COEFFICIENT
ISAKOV, V
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1988, 41 (07) : 865 - 877
[12] Isakov V., 2006, Inverse Problems for Partial Differential Equations
[13] DETERMINING CONDUCTIVITY BY BOUNDARY MEASUREMENTS .2. INTERIOR RESULTS
KOHN, RV
VOGELIUS, M
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1985, 38 (05) : 643 - 667
[14] LOGARITHMIC CONVEXITY FOR SUPREMUM NORMS OF HARMONIC-FUNCTIONS
KOREVAAR, J
MEYERS, JLH
[J]. BULLETIN OF THE LONDON MATHEMATICAL SOCIETY, 1994, 26 : 353 - 362
[15] Quantitative uniqueness for second-order elliptic operators
Kukavica, I
[J]. DUKE MATHEMATICAL JOURNAL, 1998, 91 (02) : 225 - 240
[16] A STABILITY THEOREM FOR SOLUTIONS OF ABSTRACT DIFFERENTIAL EQUATIONS, AND ITS APPLICATION TO THE STUDY OF THE LOCAL BEHAVIOR OF SOLUTIONS OF ELLIPTIC EQUATIONS
LAX, PD
[J]. COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1956, 9 (04) : 747 - 766
[17] Divergence form elliptic equations with discontinuous coefficients
Li, YY
Vogelius, M
[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2000, 153 (02) : 91 - 151
[18] REGULARIZED DISTANCE AND ITS APPLICATIONS
LIEBERMAN, GM
[J]. PACIFIC JOURNAL OF MATHEMATICS, 1985, 117 (02) : 329 - 352
[19] Littman W., 1963, Ann. Sc. Norm. Sup. Pisa, V17, P43
[20] Miranda C, 1970, PARTIAL DIFFERENTIAL

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