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.
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页码：88 / 100
页数：13
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