Carleman estimates for the general second order operators and applications to inverse problems

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Authors
Kim, Nanhee
Advisors
Isakov, Victor
Issue Date
2010-12
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Dissertation
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Abstract

We derive Carleman estimates with two large parameters for a general partial di erential operator of second order under explicit su cient global conditions of pseudo-convexity on the weight function. We use these estimates to derive the most natural Carleman type estimates for the anisotropic system of elasticity with residual stress. Also, we give applications to uniqueness and stability of the continuation, observability, and identi cation of the residual stress from boundary measurements.

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Thesis (Ph.D.)--Wichita State University, College of Liberal Arts and Sciences, Dept. of Mathematics and Statistics
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Wichita State University
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