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http://dx.doi.org/10.4134/BKMS.2015.52.4.1185

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)
Publication Information
Bulletin of the Korean Mathematical Society / v.52, no.4, 2015 , pp. 1185-1199 More about this Journal
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.
Keywords
viscous weakly dispersive; BBM equation; existence; optimal control;
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