Carleman estimate and null controllability of a cascade degenerate parabolic system with general convection terms
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 contr...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2018-12-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2018/195/abstr.html |
| Summary: | 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. |
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| ISSN: | 1072-6691 |