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http://dx.doi.org/10.7858/eamj.2013.033

NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS  

Ryu, Sang-Uk (Department of Mathematics, Jeju National University)
Publication Information
East Asian mathematical journal / v.29, no.5, 2013 , pp. 491-501 More about this Journal
Abstract
This paper is concerned with the necessary conditions of the optimal boundary control for some chemotaxis equations. We obtain the existence and the necessary conditions of the optimal boundary control in the space $(H^1(0,T))^2$. Moreover, under some assumptions, we show the uniqueness of the optimal control.
Keywords
Optimal boundary control; Chemotaxis equations; Necessary conditions; Uniqueness;
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Times Cited By KSCI : 1  (Citation Analysis)
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