Jianing Xu, Qian Zhou, Yuanyuan Nie
Abstract:
This article concerns the null controllability of a control system
governed by coupled degenerate parabolic equations with lower order terms.
For these equations, the convection terms cannot be controlled by the diffusion
terms. We establish a Carleman estimate and an observability inequality
by using Carleman estimates for single degenerate parabolic equations with
lower order term and some energy estimates.
Then we prove that the system with two controls is null controllable.
Finally, we show the null controllability of the system with one control,
by constructing suitable controls.
Submitted July 9, 2018. Published September 6, 2019.
Math Subject Classifications: 93B05, 93C20, 35K65.
Key Words: Carleman estimate; null controllability; coupled degenerate equations;
convection terms.
Show me the PDF file (302 KB), TEX file for this article.
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Jianing Xu School of Mathematics Jilin University Changchun 130012, China email: 924751144@qq.com |
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Qian Zhou School of Mathematics Jilin University Changchun 130012, China email: zhouqian@jlu.edu.cn |
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Yuanyuan Nie School of Mathematics Jilin University Changchun 130012, China email: nieyy@jlu.edu.cn |
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