Null controllability for singular cascade systems of $ n $-coupled degenerate parabolic equations by one control force
| Autor: | Brahim Allal, Abdelkarim Hajjaj, Jawad Salhi, Lahcen Maniar |
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| Rok vydání: | 2021 |
| Předmět: |
Pure mathematics
Control and Optimization Applied Mathematics 010102 general mathematics Null (mathematics) Degenerate energy levels 01 natural sciences Parabolic partial differential equation Domain (mathematical analysis) 010101 applied mathematics Controllability Singularity Modeling and Simulation Observability 0101 mathematics Degeneracy (mathematics) Mathematics |
| Zdroj: | Evolution Equations & Control Theory. 10:545 |
| ISSN: | 2163-2480 |
| Popis: | In this paper, we consider a class of cascade systems of \begin{document}$ n $\end{document} -coupled degenerate parabolic equations with singular lower order terms. We assume that both degeneracy and singularity occur in the interior of the space domain and we focus on null controllability problem. To this aim, we prove first Carleman estimates for the associated adjoint problem, then, we infer from it an indirect observability inequality. As a consequence, we deduce null controllability result when a unique distributed control is exerted on the system. |
| Databáze: | OpenAIRE |
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