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2012 OBSERVABILITY ESTIMATE AND NULL CONTROLLABILITY FOR ONE-DIMENSIONAL FOURTH ORDER PARABOLIC EQUATION
Zhongcheng Zhou
Taiwanese J. Math. 16(6): 1991-2017 (2012). DOI: 10.11650/twjm/1500406835
Abstract

This paper studies the observability and null controllability for a class of one-dimensional fourth order parabolic equation. By means of establishing the global Carleman estimates, we derive the observability inequalities for one-dimensional linear fourth order parabolic equation with potentials. The null controllability results for one-dimensional fourth order semilinear equation are also presented.

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Copyright © 2012 The Mathematical Society of the Republic of China
Zhongcheng Zhou "OBSERVABILITY ESTIMATE AND NULL CONTROLLABILITY FOR ONE-DIMENSIONAL FOURTH ORDER PARABOLIC EQUATION," Taiwanese Journal of Mathematics 16(6), 1991-2017, (2012). https://doi.org/10.11650/twjm/1500406835
Published: 2012
Vol.16 • No. 6 • 2012
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