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NECESSARY CONDITIONS FOR OPTIMAL BOUNDARY CONTROL PROBLEM GOVERNED BY SOME CHEMOTAXIS EQUATIONS
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초록
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 (H1(0, T))2. Moreover, under some assumptions, we show the uniqueness of the optimal control.
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 (H1(0, T))2. Moreover, under some assumptions, we show the uniqueness of the optimal control.
참고문헌 (8)
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- D. Lebiedz, "External optimal control of self-organization dynamics in a chemotaxis reaction diffusion system", IEE Syst. Biol, 2, pp.222~229 (2004)
- J. L. Lions, "Quelques Methodes de Resolution des Problemes aux Limites Non Lineaires" (1969), Gauthier-Villars
- K. Osaki, "Finite dimensional attractor for one-dimensional Keller-Segel equations", Funkcial Ekvac, 44, pp.441~469 (2001)
- S.-U. Ryu, "Optimal control of Keller-Segel equations", J. Math. Anal. Appl, 256, pp.45~66 (2001)
- 유상욱, "BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM", 호남수학학술지, 30(3), pp.469~478 (2008), 호남수학회
- 유상욱, "ROBUST BOUNDARY CONTROL OF CHEMOTAXIS REACTION DIFFUSION SYSTEM", 한국수학논문집, 16(4), pp.457~470 (2008), 강원경기수학회
관련 논문AI추천
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