Acta mathematica scientia,Series A ›› 2008, Vol. 28 ›› Issue (6): 985-996.

• Articles •     Next Articles

Null Controllability of a Cascade System of Degenerate Parabolic Equations

Liu Xu1,2|Gao Hang2|Lin Ping2   

  1. (1.Department of Mathematics, Zhejiang University, Hangzhou 310027|2.Institute of Mathematics and Statistics, Northeast Normal University, Changchun 130024)
  • Received:2006-10-20 Revised:2008-06-11 Online:2008-12-25 Published:2008-12-25
  • Contact: Liu Xu

Abstract:

This paper deals with null controllability of a cascade system governed by a semilinear heat equation and degenerate parabolic equation under appropriate assumptions. The control acts on only one equation . The critical point is to establish suitable observability inequalities.

Key words: Null controllability, Cascade system, Degenerate equation

CLC Number: 

  • 35K55
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