Regional controllability of semilinear degenerate parabolic equations in bounded domains |
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| Authors: | P. Cannarsa G. Fragnelli J. Vancostenoble |
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| Affiliation: | aDipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133 Roma, Italy;bLaboratoire MIP, UMR CNRS 5640, Université Paul Sabatier Toulouse III, 118 route de Narbonne, 31 062 Toulouse cedex 4, France |
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| Abstract: | In this paper we study controllability properties of semilinear degenerate parabolic equations. Due to degeneracy, classical null controllability results do not hold in general. Thus we investigate results of ‘regional null controllability’, showing that we can drive the solution to rest at time T on a subset of the space domain, contained in the set where the equation is nondegenerate. |
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| Keywords: | Null controllability Semilinear parabolic equations Degenerate equations |
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