Electron. J. Diff. Eqns.,
Vol. 2009(2009), No. 73, pp. 121.
Controllability of 1d coupled degenerate parabolic equations
Piermarco Cannarsa, Luz de Teresa
Abstract:
This article is devoted to the study of null controllability
properties for two systems of coupled one dimensional
degenerate parabolic equations. The first system consists
of two forward equations, while the second one consists
of one forward equation and one backward equation.
Both systems are in cascade, that is, the solution of the first
equation acts as a control for the second equation and the
control function only acts directly in the first equation.
We prove positive null controllability results when the
control and coupling sets have nonempty intersection and 0
does not belong to the coupling set.
Submitted October 21, 2008. Published June 3, 2009.
Math Subject Classifications: 35K65, 93C20.
Key Words: Degenerate parabolic systems; controllability.
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Piermarco Cannarsa
Dipartimento di Matematica
Universitá di Roma "Tor Vergata"
00133, Roma, Italy
email: cannarsa@mat.uniroma2.it


Luz de Teresa
Instituto de Matemáticas
Universidad Nacional Autónoma de México
Circuito Exterior, C.U., C. P. 04510 D.F., Mexico
email: deteresa@matem.unam.mx

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