East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS

  • Ryu, Sang-Uk (Department of Mathematics, Jeju National University)
  • Received : 2013.09.16
  • Accepted : 2013.10.18
  • Published : 2013.11.30
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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.

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References

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