SZTE Repository of Papers and Books: No conditions. Results ordered -Date Deposited. 2020-11-29T16:16:07ZEPrintshttp://acta.bibl.u-szeged.hu/images/acta.jpghttp://acta.bibl.u-szeged.hu/2019-06-03T05:57:12Z2020-07-29T12:29:00Zhttp://acta.bibl.u-szeged.hu/id/eprint/58135This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/581352019-06-03T05:57:12ZControllability of strongly degenerate parabolic problems with strongly singular potentialsWe 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.Genni FragnelliDimitri Mugnai2018-11-06T14:52:24Z2020-07-29T12:20:49Zhttp://acta.bibl.u-szeged.hu/id/eprint/55720This item is in the repository with the URL: http://acta.bibl.u-szeged.hu/id/eprint/557202018-11-06T14:52:24ZControllability of strongly degenerate parabolic problems with strongly singular potentialsWe 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.Genni FragnelliDimitri Mugnai