Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 136, pp. 1-20.

Title: Null controllability of semilinear degenerate parabolic 
       equations in bounded domains

Authors: Piermarco Cannarsa (Univ. di Roma "Tor Vergata", Italy)
         Genni Fragnelli    (Univ. di Siena, Italy)
	 
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.