Geodesic
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

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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
Keywords: 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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     title = {The {Lebeau{\textendash}Robbiano} inequality for the one-dimensional fourth order elliptic operator and its application},
     journal = {ESAIM: Control, Optimisation and Calculus of Variations},
     pages = {811--831},
     publisher = {EDP-Sciences},
     volume = {22},
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     year = {2016},
     doi = {10.1051/cocv/2015030},
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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

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