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OPTIMAL CONTROL FOR SOME REACTION DIFFUSION MODEL

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This paper is concerned with the optimal control problem forsome reaction di usion model. That is, we show the existence of the globalweak solution for the Field-Noyes model. We also show the existence ofthe optimal control.

Abstract

This paper is concerned with the optimal control problem forsome reaction di usion model. That is, we show the existence of the globalweak solution for the Field-Noyes model. We also show the existence ofthe optimal control.

참고문헌 (11)

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  6. S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl., 256, pp.45~66 (2001)
  7. 유상욱, "Optimal control for Belousov-Zhabotinskii reaction model", East Asian Mathematical Journal, 31(1), pp.109~117 (2015), 영남수학회[DOI]
  8. 유상욱, "Optimality conditions for optimal control governed by Belousov-Zhabotinskii reaction model", 대한수학회논문집, 30(3), pp.327~337 (2015), 대한수학회
  9. A. Yagi, "Abstract parabolic evolution equations and their applications" (2010), Springer-Verlag
  10. Y. You, "Global Dynamics of the Oregonator System", Math. Methods Appl. Sci., 35(4), pp.398~416 (2012)
  11. V. S. Zykov, "Global dontrol of spiral wave dynamics in an excitable domain of circular and elliptical shape", Phys. Rev. Lett., 92, pp.018304~ (2004)

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