Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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OPTIMAL CONTROL OF THE VISCOUS WEAKLY DISPERSIVE BENJAMIN-BONA-MAHONY EQUATION

  • ZHANG, LEI (SCHOOL OF MATHEMATICS AND STATISTICS HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY) ;
  • LIU, BIN (SCHOOL OF MATHEMATICS AND STATISTICS HUAZHONG UNIVERSITY OF SCIENCE AND TECHNOLOGY)
  • Received : 2014.07.20
  • Published : 2015.07.31
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Abstract

This paper is concerned with the optimal control problem for the viscous weakly dispersive Benjamin-Bona-Mahony (BBM) equation. We prove the existence and uniqueness of weak solution to the equation. The optimal control problem for the viscous weakly dispersive BBM equation is introduced, and then the existence of optimal control to the problem is proved.

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References

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