| Issue |
ESAIM: COCV
Volume 22, Number 3, July-September 2016
|
|
|---|---|---|
| Page(s) | 811 - 831 | |
| DOI | https://doi.org/10.1051/cocv/2015030 | |
| Published online | 27 May 2016 | |
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
University, Changchun
130024, P.R.
China
2 Institute of Mathematics, Jilin University, Changchun 130012,
P.R. China.
gaopengjilindaxue@126.com
Received:
14
August
2014
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
© EDP Sciences, SMAI 2016
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