Abstract
We consider a temperature control problem based on the heat equation with a convective term and a quadratic quality functional. We examine the structure of the set of attainable functions and establish controllability of the problem on various sets of admissible controls.
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Translated from Trudy Seminara imeni I. G. Petrovskogo, No. 32, pp. 57–71, 2019.
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Astashova, I.V., Filinovskiy, A.V. Controllability and Exact Controllability in a Problem of Heat Transfer with Convection and Time Distributed Functional. J Math Sci 244, 148–157 (2020). https://doi.org/10.1007/s10958-019-04610-5
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DOI: https://doi.org/10.1007/s10958-019-04610-5