Jianing Xu, Chunpeng Wang, Yuanyuan Nie
Abstract:
This article shows Carleman estimate and null controllability of
a cascade control system governed by the semilinear degenerate parabolic
equations with the general convection terms.
The semilinear parabolic equations are weakly degenerate on the boundary
and the convection terms cannot be controlled by the diffusion terms.
We establish the Carleman estimate and the observability inequality for
the linear conjugate system, and prove that the control system is null
controllable.
Submitted April 2, 2018. Published December 6, 2018.
Math Subject Classifications: 93B05, 93C20, 35K67.
Key Words: Carleman estimate; null controllability; convection;
degenerate parabolic system.
Show me the PDF file (243 KB), TEX file for this article.
 |
Jianing Xu School of Mathematics Jilin University Changchun 130012, China email: 924751144@qq.com |
|---|---|
 |
Chunpeng Wang School of Mathematics Jilin University Changchun 130012, China email: wangcp@jlu.edu.cn |
 |
Yuanyuan Nie School of Mathematics Jilin University Changchun 130012, China email: nieyy@jlu.edu.cn |
Return to the EJDE web page