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.