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Basics of Carleman Estimates

2017
In this monograph, we discuss the derivation of Carleman estimates and their application to inverse problems of determining spatially varying coefficients or source terms. The inverse problem is to determine unknown quantities in governing equations from available data of solutions.
Bellassoued M., Yamamoto M.
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Inverse problems and Carleman estimates

Inverse Problems, 1992
The author describes the current state of the method of Carleman type estimates suggested by \textit{A. L. Bukhgejm} and himself [Dokl. Akad. Nauk SSSR 260, 269-272 (1981; Zbl 0497.35082)]. This method is based on powerful estimates of solutions of PDE in weighted Sobolev spaces which are a classical tool in the uniqueness of continuation study as well
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Carleman Estimates of Refined Stochastic Beam Equations and Applications

SIAM Journal on Control and Optimization, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yongyi Yu, Ji-Feng Zhang
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Carleman Estimates for Some Thermoelasticity Systems

2017
In this chapter, we establish Carleman estimates for a thermoelastic plate system and a thermoelastic system with residual stress as applications of the Carleman estimate in Chap. 4.
Bellassoued M., Yamamoto M.
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