The Lebeau–Robbiano inequality for the one-dimensional fourth order elliptic operator and its application
Gao, Peng1, 2
1 School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, P.R. China
2 Institute of Mathematics, Jilin University, Changchun 130012, P.R. China.
ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 3, pp. 811-831.

In this paper, we establish the Lebeau–Robbiano inequality for the one-dimensional fourth order elliptic operator by using a point-wise estimate. Based on this inequality, we obtain the null controllability of one-dimensional stochastic fractional order Cahn–Hilliard equation.

Reçu le :
DOI : 10.1051/cocv/2015030
Classification : 93B05, 35K35, 60H15
Mots-clés : Lebeau–Robbiano inequality, null controllability, stochastic fractional order Cahn–Hilliard equation
Gao, Peng 1, 2

1 School of Mathematics and Statistics, and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal University, Changchun 130024, P.R. China
2 Institute of Mathematics, Jilin University, Changchun 130012, P.R. China. 
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Gao, Peng. The Lebeau–Robbiano inequality for the one-dimensional fourth order elliptic operator and its application. ESAIM: Control, Optimisation and Calculus of Variations, Tome 22 (2016) no. 3, pp. 811-831. doi : 10.1051/cocv/2015030. http://archive.numdam.org/articles/10.1051/cocv/2015030/

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