Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation
Peng Gao - School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, China (email)
Abstract: This paper is addressed to study the null controllability with constraints on the state for the Kuramoto-Sivashinsky equation. We first consider the linearized problem. Then, by Kakutani fixed point theorem, we show that the same result holds for the Kuramoto-Sivashinsky equation.
Keywords: Null controllability, 1-D Kuramoto-Sivashinsky equation, constraints on the state.
Received: March 2015; Revised: June 2015; Available Online: September 2015.
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