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Null controllability with constraints on the state for the linear stochastic Kuramoto–Sivashinsky equation

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  • Gao, Peng

Abstract

This paper is addressed to study the null controllability with constraints on the state for the linear stochastic Kuramoto–Sivashinsky equation. We transform the problem into an equivalent null controllability problem with constraint on the control. Using a Carleman inequality adapted to the constraints, we prove the null controllability with constraints on the state for the linear stochastic Kuramoto–Sivashinsky equation holds.

Suggested Citation

  • Gao, Peng, 2020. "Null controllability with constraints on the state for the linear stochastic Kuramoto–Sivashinsky equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 545(C).
    • Handle: RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319946
    DOI: 10.1016/j.physa.2019.123582
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    References listed on IDEAS

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    1. G. Massengo Mophou & O. Nakoulima, 2009. "Null Controllability with Constraints on the State for the Semilinear Heat Equation," Journal of Optimization Theory and Applications, Springer, vol. 143(3), pages 539-565, December.
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