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

Peng Gao

Physica A: Statistical Mechanics and its Applications, 2020, vol. 545, issue C

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.

Keywords: Null controllability; Stochastic Kuramoto–Sivashinsky equation (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:545:y:2020:i:c:s0378437119319946

DOI: 10.1016/j.physa.2019.123582

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