College of Mathematics and Computers
Changsha University of Science and Technology
Changsha, Hunan, China
email: sunbo52002@yahoo.com.cn
Bo Sun
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
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Bo Sun College of Mathematics and Computers Changsha University of Science and Technology Changsha, Hunan, China email: sunbo52002@yahoo.com.cn |
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