Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation

Peng  Gao

doi:10.3934/eect.2015.4.281

Article Contents

2015, Volume 4, Issue 3: 281-296. Doi: 10.3934/eect.2015.4.281

This issue Previous Article Energy stability for thermo-viscous fluids with a fading memory heat flux Next Article An Ingham--Müntz type theorem and simultaneous observation problems

Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation

Peng Gao^1,

1.
School of Mathematics and Statistics and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024

Received: March 2015

Revised: June 2015

Published: September 2015

Abstract / Introduction Related Papers Cited by

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.

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Mathematics Subject Classification: Primary: 35K35, 35K55; Secondary: 93B05.

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