Controllability results for a class of one-dimensional degenerate parabolic problems in nondivergence form |
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| Authors: | Piermarco Cannarsa Genni Fragnelli Dario Rocchetti |
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| Affiliation: | (1) Dipartimento di Matematica, Università degli Studi di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy;(2) Dipartimento di Ingegneria dell’Informazione, Università di Siena, Via Roma 56, 53100 Siena, Italy |
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| Abstract: | We give null controllability results for some degenerate parabolic equations in non divergence form on a bounded interval. In particular, the coefficient of the second order term degenerates at the extreme points of the domain. For this reason, we obtain an observability inequality for the adjoint problem. Then we prove Carleman estimates for such a problem. Finally, in a standard way, we deduce null controllability also for semilinear equations. |
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| Keywords: | KeywordHeading" >: Degenerate parabolic equations null controllability Carleman estimates Hardy type inequality |
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