The Lebeau–Robbiano inequality for the one-dimensional fourth order elliptic operator and its application
1 School of Mathematics and Statistics,
and Center for Mathematics and Interdisciplinary Sciences, Northeast Normal
2 Institute of Mathematics, Jilin University, Changchun 130012, P.R. China.
Revised: 25 April 2015
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.
Mathematics Subject Classification: 93B05 / 35K35 / 60H15
Key words: Lebeau–Robbiano inequality / null controllability / stochastic fractional order Cahn–Hilliard equation
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