Null controllability for linear parabolic cascade systems with interior degeneracy
We study the null controllability problem for linear degenerate parabolic systems with one control force through Carleman estimates for the associated adjoint problem. The novelty of this article is that for the first time it is considered a problem with an interior degeneracy and a control set...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2016-11-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/305/abstr.html |
| Summary: | We study the null controllability problem for linear degenerate parabolic
systems with one control force through Carleman estimates for the
associated adjoint problem. The novelty of this article is that for the
first time it is considered a problem with an interior degeneracy and a
control set that only requires to contain an interval lying on one side of
the degeneracy points. The obtained result improves and complements a number
of earlier works. As a consequence, observability inequalities are established. |
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| ISSN: | 1072-6691 |