Fengdan Xu, Jingxue Yin, Mingjun Zhou, Qian Zhou
Abstract:
This article concerns the null controllability of a nonlinear control system governed
by coupled degenerate parabolic equations.
We first establish the Carleman estimate and the observability inequality for
solutions to the conjugate problem.
Then we can prove the observability inequality and the null controllability
of the linear control system. Finally, the nonlinear control system is shown
to be null controllable by a fixed point argument and compact estimates.
Submitted November 11, 2018. Published November 21, 2019.
Math Subject Classifications: 93B05, 93C20, 35K65.
Key Words: Null controllability; coupled degenerate parabolic equations; Carleman estimate.
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Fengdan Xu School of Mathematics Jilin University Changchun 130012, China email: 245952950@qq.com |
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Jingxue Yin School of Mathematical Sciences South China Normal University Guangzhou 510631, China email: yjx@scnu.edu.cn |
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Mingjun Zhou School of Mathematics Jilin University Changchun 130012, China email: zhoumingjun@jlu.edu.cn |
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Qian Zhou School of Mathematics Jilin University Changchun 130012, China email: zhouqian@jlu.edu.cn |
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