Electronic Journal of Differential Equations,
Vol. 2010(2010), No. 148, pp. 1-8.

Title: An iteration method for controllability of semilinear 
       parabolic equations

Author: Bo Sun (Changsha Univ. of Science and Tech., Hunan, China)

Abstract:
 We present a method based on Picard's idea to construct a
 sequence of controls and a sequence of solutions of linearized
 systems such that their limits form a solution to the control
 problem.  By doing this, we simplified the works in the references,
 and deduced the controllability for semilinear coupled
 parabolic systems.
 
Submitted May 30, 2010. Published October 20, 2010.
Math Subject Classifications: 35K61, 93B05.
Key Words: Semilinear; parabolic equation; controllability;
           iteration method; coupled systems