Electronic Journal of Differential Equations,
Vol. 2009(2009), No. 73, pp. 1-21.
Title: Controllability of 1-d coupled degenerate parabolic equations
Authors: Piermarco Cannarsa (Univ. di Roma "Tor Vergata", Italy)
Luz de Teresa (Univ. Nacional Autonoma de Mexico, Mexico)
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 03, 2009.
Math Subject Classifications: 35K65, 93C20.
Key Words: Degenerate parabolic systems; controllability.