Allal Brahim and Fragnelli Genni and Salhi Jawad: Null controllability for a singular heat equation with a memory term. (2021)
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Abstract
In this paper we focus on the null controllability problem for the heat equation with the so-called inverse square potential and a memory term. To this aim, we first establish the null controllability for a nonhomogeneous singular heat equation by a new Carleman inequality with weights which do not blow up at t = 0. Then the null controllability property is proved for the singular heat equation with memory under a condition on the kernel, by means of Kakutani’s fixed-point theorem.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 14 |
| ISSN: | 1417-3875 |
| Number of Pages: | 24 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2021.1.14 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 21-24. ; összefoglalás angol nyelven |
| Date Deposited: | 2021. Nov. 08. 09:59 |
| Last Modified: | 2021. Nov. 08. 09:59 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/73666 |
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