Araújo Bruno Sérgio and Demarque Reginaldo and Viana Luiz: Carleman inequality for a class of super strong degenerate parabolic operators and applications. (2023)
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Abstract
In this paper, we present a new Carleman estimate for the adjoint equations associated to a class of super strong degenerate parabolic linear problems. Our approach considers a standard geometric imposition on the control domain, which can not be removed in general. Additionally, we also apply the aforementioned main inequality in order to investigate the null controllability of two nonlinear parabolic systems. The first application is concerned a global null controllability result obtained for some semilinear equations, relying on a fixed point argument. In the second one, a local null controllability for some equations with nonlocal terms is also achieved, by using an inverse function theorem.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2023 |
| Number: | 9 |
| ISSN: | 1417-3875 |
| Number of Pages: | 25 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2023.1.9 |
| Uncontrolled Keywords: | Differenciálegyenlet - nemlineáris, Differenciálegyenlet - lineáris |
| Additional Information: | Bibliogr.: p. 24-25. ; összefoglalás angol nyelven |
| Date Deposited: | 2023. Nov. 16. 10:22 |
| Last Modified: | 2023. Nov. 16. 10:33 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/82259 |
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