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On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator

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Abstract

For the Cauchy problem associated with a controlled semilinear evolution equation with an unbounded maximal monotone operator in a Hilbert space, sufficient conditions are obtained for exact controllability to a given final state. Here a generalization of the Browder–Minty theorem and results on the total global solvability of this equation obtained by the author earlier are used. As an example, a semilinear wave equation is considered.

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Authors and Affiliations

  1. Lobachevsky State University of Nizhny Novgorod, Nizhny Novgorod, 603950, Russia

    A. V. Chernov

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  1. A. V. Chernov
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Translated by V. Potapchouck

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Chernov, A.V. On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator. Diff Equat 59, 265–277 (2023). https://doi.org/10.1134/S0012266123020106

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  • DOI: https://doi.org/10.1134/S0012266123020106

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