Exact null controllability of degenerate evolution equations with scalar control
Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1817-1836

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Necessary and sufficient conditions for the exact null controllability of a degenerate linear evolution equation with scalar control are obtained. These general results are used to examine the exact null controllability of the Dzektser equation in the theory of seepage. Bibliography: 13 titles.
Keywords: degenerate evolution equation, exact controllability, family of exponentials, strongly minimal sequence.
@article{SM_2012_203_12_a7,
     author = {V. E. Fedorov and B. Shklyar},
     title = {Exact null controllability of degenerate evolution equations with scalar control},
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     pages = {1817--1836},
     publisher = {mathdoc},
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     number = {12},
     year = {2012},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2012_203_12_a7/}
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V. E. Fedorov; B. Shklyar. Exact null controllability of degenerate evolution equations with scalar control. Sbornik. Mathematics, Tome 203 (2012) no. 12, pp. 1817-1836. http://geodesic.mathdoc.fr/item/SM_2012_203_12_a7/