Controllability of strongly degenerate parabolic problems with strongly singular potentials

Fragnelli, Genni and Mugnai, Dimitri: Controllability of strongly degenerate parabolic problems with strongly singular potentials. Electronic journal of qualitative theory of differential equations 50. pp. 1-11. (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: Article
Journal or Publication Title: Electronic journal of qualitative theory of differential equations
Date: 2018
Number: 50
Page Range: pp. 1-11
ISSN: 1417-3875
DOI: https://doi.org/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: 2019. Jun. 03. 05:57
URI: http://acta.bibl.u-szeged.hu/id/eprint/58135

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