Lipschitz stability for some coupled degenerate parabolic systems with locally distributed observations of one component
| Autor: | Jawad Salhi, Brahim Allal, Lahcen Maniar, Abdelkarim Hajjaj |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Physics
0209 industrial biotechnology Pure mathematics Control and Optimization Computer Science::Information Retrieval Applied Mathematics 010102 general mathematics Degenerate energy levels 02 engineering and technology Interval (mathematics) Inverse problem Lipschitz continuity 01 natural sciences Parabolic partial differential equation Stability (probability) 020901 industrial engineering & automation Cascade Uniqueness 0101 mathematics |
| Zdroj: | Mathematical Control & Related Fields. 10:643-667 |
| ISSN: | 2156-8499 |
| Popis: | This article presents an inverse source problem for a cascade system of \begin{document}$ n $\end{document} coupled degenerate parabolic equations. In particular, we prove stability and uniqueness results for the inverse problem of determining the source terms by observations in an arbitrary subdomain over a time interval of only one component and data of the \begin{document}$ n $\end{document} components at a fixed positive time \begin{document}$ T' $\end{document} over the whole spatial domain. The proof is based on the application of a Carleman estimate with a single observation acting on a subdomain. |
| Databáze: | OpenAIRE |
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