Piermarco Cannarsa, Genni Fragnelli
Abstract:
In this paper we study controllability properties for semilinear
degenerate parabolic equations with nonlinearities involving the
first derivative in a bounded domain of R. 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.
Submitted January 25, 2006. Published October 31, 2006.
Math Subject Classifications: 35K65, 35K55, 93B05.
Key Words: Null controllability; semilinear parabolic equations;
degenerate equations.
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Piermarco Cannarsa Dipartimento di Matematica Università di Roma "Tor Vergata" Via della Ricerca Scientifica, 00133 Roma, Italy email: cannarsa@mat.uniroma2.it |
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Genni Fragnelli Dipartimento di Ingegneria dell'Informazione Università di Siena Via Roma 56, 53100 Siena, Italy email: fragnelli@dii.unisi.it |
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