Null controllability for a coupled system of degenerate/singular parabolic equations in nondivergence form
We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of the problem and then we prove the null contro...
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| Format: | Article |
| Language: | English |
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University of Szeged
2018-05-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=5836 |
| Summary: | We deal with a control problem for a coupled system of two degenerate singular parabolic equations in non-divergence form with degeneracy and singularity appearing at an interior point of the space domain. In particular, we consider the well-posedness of the problem and then we prove the null controllability property via an observability inequality for the adjoint system. The key ingredient is the derivation of a suitable Carleman-type estimate. |
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| ISSN: | 1417-3875 |