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Optimal control problems for viscous Cahn-Hilliard equation

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Optimal control problems for viscous Cahn-Hilliard equation

Abstract

Optimal control problems for viscous Cahn-Hilliard equation

참고문헌 (19)

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  2. A.N. Carvalho, "Dynamics of the viscous Cahn-Hilliard equation", J. Math. Anal. Appl, 344, pp.703~725 (2008)
  3. R. Dautray, "Mathematical Analysis and Numerical Methods for Science and Technology, Vol. 5, Evolution Problems I" (1992), Springer-Verlag
  4. C. M. Elliott, "Viscous Cahn-Hilliard equation II. analysis", J. Diff. Eq., 128, pp.387~414 (1996)
  5. M. Grinfeld, "The viscous Cahn-Hilliard equation: Morse decomposition and structure of the global attractor", Trans. Amer. Math. Soc, 351, pp.2375~2406 (1999)
  6. J. Hwang, "Optimal control problems for the equation of motion of membrane with strong viscosity", J. Math. Anal. Appl., 321, pp.327~342 (2006)
  7. J. Hwang, "Optimal control problems for an extensible beam equation", J. Math. Anal. Appl, 353, pp.436~448 (2009)
  8. J. Hwang, "Parameter identification problems for an extensible beam equation", J. Math. Anal. Appl, 359, pp.682~695 (2009)
  9. J. Hwang, "Optimal control problems for Kirchhoff type equation with a damping term", Nonlinear Analysis TMA, 72, pp.1621~1631 (2010)
  10. J. L. Lions, "Optimal Control of Systems Governed by Partial Differential Equations" (1971), Springer-Verlag
  11. J. L. Lions, "Con-temporary developments in Continuum Mechanics and Partial Differential Equations" (1977)
  12. J. L. Lions, "Non-Homogeneous Boundary Value Problems and Applications I, II" (1972), Springer-Verlag
  13. A. Novic, "Material Instabilities in Continuum Mechanics and Related Mathematical Problems", pp.329~342 (1988), Clarendon Press
  14. S. Ryu, "Optimal control problems governed by some semilinear parabolic equations", Nonlinear Analysis TMA, 56, pp.241~252 (2004)
  15. R. Temam, "Navier Infinite Dimensional Dynamical Systems in Mechanics and Physics", Applied Math. Sci, 68 (1997), Springer-Verlag
  16. R. Temam, "Navier Stokes Equation" (1984)
  17. L. Tian, "Optimal control of the viscous Camassa-Holm equation", Non-linear Analysis RWA, 10, pp.519~530 (2009)
  18. X. Zhao, "Optimal control problem for viscous Cahn-Hilliard equation", Nonlinear Analysis TMA, 74, pp.6348~6357 (2011)
  19. B, Nonlinear Monotone Operator, "Nonlinear Functional Analysis and its Applications, II", pp.1990, E. Zeidler

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