SIZE ESTIMATES OF THE INVERSE INCLUSION PROBLEM FOR THE SHALLOW SHELL EQUATION

被引：8

作者：

Di Cristo, M. ^{[1
]}

Lin, C. -L. ^{[2
]}

Vessella, S. ^{[3
]}

Wang, J. -N. ^{[4
]}

机构：

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

[2] Natl Cheng Kung Univ, Dept Math, NCTS, Tainan 701, Taiwan

[3] Univ Florence, DIMAD, I-50134 Florence, Italy

[4] Natl Taiwan Univ, Dept Math, NCTS Taipei, Taipei 106, Taiwan

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2013年 / 45卷 / 01期

关键词：

inverse problems; shallow shell; size estimates;

D O I：

10.1137/120885231

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the problem of estimating the size of an inclusion in the shallow shell. Previously, the same problem was studied in [M. Di Cristo, C. L. Lin, and J. N. Wang, Ann. Sc. Norm. Super. Pisa Cl. Sci.] under the assumption of fatness condition. We remove this restriction in this work. The main tool is a global doubling estimate for the solution of the shallow shell equation.

引用

页码：88 / 100

页数：13

共 50 条

[1] Quantitative uniqueness estimates for the shallow shell system and their application to an inverse problem
Di Cristo, Michele
Lin, Ching-Lung
Wang, Jenn-Nan
ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE, 2013, 12 (01) : 43 - 92
[2] A CARLEMAN ESTIMATE FOR THE LINEAR SHALLOW SHELL EQUATION AND AN INVERSE SOURCE PROBLEM
Li, Shumin
Miara, Bernadette
Yamamoto, Masahiro
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2009, 23 (1-2) : 367 - 380
[3] STABILITY ESTIMATES IN AN INVERSE PROBLEM FOR THE TRANSPORT-EQUATION
ROMANOV, VG
DOKLADY AKADEMII NAUK, 1995, 341 (02) : 169 - 172
[4] Stability estimates of an inverse problem for the stationary transport equation
Wang, JN
ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE, 1999, 70 (05): : 473 - 495
[5] Inverse problem for a free transport equation using Carleman estimates
Gaitan, Patricia
Ouzzane, Hadjer
APPLICABLE ANALYSIS, 2014, 93 (05) : 1073 - 1086
[6] Optimal size estimates for the inverse conductivity problem with one measurement
Alessandrini, G
Rosset, E
Seo, JK
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (01) : 53 - 64
[7] Stability estimates in an inverse problem for a three-dimensional heat equation
Vessella, S
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1997, 28 (06) : 1354 - 1370
[8] Estimates for a general fractional relaxation equation and application to an inverse source problem
Bazhlekova, Emilia
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (18) : 9018 - 9026
[9] Carleman Estimates for the Schrodinger Equation and Applications to an Inverse Problem and an Observability Inequality
Yuan, Ganghua
Yamamoto, Masahiro
CHINESE ANNALS OF MATHEMATICS SERIES B, 2010, 31 (04) : 555 - 578
[10] Stability estimates in the three-dimensional inverse problem for the transport equation
Romanov, V.G.
Journal of Inverse and Ill-Posed Problems, 1997, 5 (05): : 463 - 475

← 1 2 3 4 5 →