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.
SIZE ESTIMATES OF THE INVERSE INCLUSION PROBLEM FOR THE SHALLOW SHELL EQUATION / M. DI CRISTO; C.-L. LIN; S. VESSELLA ; J.-N. WANG. - In: SIAM JOURNAL ON MATHEMATICAL ANALYSIS. - ISSN 0036-1410. - STAMPA. - 45:(2013), pp. 88-100. [10.1137/120885231]
SIZE ESTIMATES OF THE INVERSE INCLUSION PROBLEM FOR THE SHALLOW SHELL EQUATION
VESSELLA, SERGIO;
2013
Abstract
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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