Fragnelli Genni and Mugnai Dimitri: Controllability of strongly degenerate parabolic problems with strongly singular potentials. (2018)
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Abstract
We prove a null controllability result for a parabolic Dirichlet problem with non smooth coefficients in presence of strongly singular potentials and a coefficient degenerating at an interior point. We cover the case of weights falling out the class of Muckenhoupt functions, so that no Hardy-type inequality is available; for instance, we can consider Coulomb-type potentials. However, through a cut-off function method, we recover the desired controllability result.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2018 |
| Number: | 50 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-11 |
| DOI: | 10.14232/ejqtde.2018.1.50 |
| Uncontrolled Keywords: | Függvény, Matematikai modell |
| Additional Information: | Bibliogr.: p. 10-11. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. Jun. 03. 05:57 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58135 |
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