Abstract
This paper establishes a global Carleman inequality of parabolic equations with mixed boundary conditions and an estimate of the solution. Further, we prove exact controllability of the equation by controls acting on an arbitrarily given subdomain or subboundary.
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The first author’s research was supported by TWAS, UNESO and AMSS in Chinese Academy.
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Kim, T., Chang, Qs. & Xu, J. A global Carleman inequality and exact controllability of parabolic equations with mixed boundary conditions. Acta Math. Appl. Sin. Engl. Ser. 24, 265–280 (2008). https://doi.org/10.1007/s10255-006-6011-8
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DOI: https://doi.org/10.1007/s10255-006-6011-8