Abstract
This chapter is concerned with the Carleman estimates for the backward linear parabolic equations on smooth and bounded domains of \({\mathbb {R}}^d\) which implies observability that, as seen earlier, is the main tool to investigate the exact controllability of the forward parabolic controlled system.
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Barbu, V. (2018). The Carleman Inequality for Linear Parabolic Equations. In: Controllability and Stabilization of Parabolic Equations. Progress in Nonlinear Differential Equations and Their Applications(), vol 90. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-76666-9_2
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DOI: https://doi.org/10.1007/978-3-319-76666-9_2
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