We prove a null controllability result for a parabolic 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.
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Titolo: | Controllability of strongly degenerate parabolic problems with strongly singular potentials |
Autori: | |
Data di pubblicazione: | 2018 |
Rivista: | |
Abstract: | We prove a null controllability result for a parabolic 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. |
Handle: | http://hdl.handle.net/11586/224748 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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