On the Approximate Controllability for Higher Order Parabolic Nonlinear Equations of Cahn-Hilliard Type

  • J. I. Díaz
  • A. M. Ramos
Conference paper

DOI: 10.1007/978-3-0348-8849-3_9

Part of the International Series of Numerical Mathematics book series (ISNM, volume 126)
Cite this paper as:
Díaz J.I., Ramos A.M. (1998) On the Approximate Controllability for Higher Order Parabolic Nonlinear Equations of Cahn-Hilliard Type. In: Desch W., Kappel F., Kunisch K. (eds) Control and Estimation of Distributed Parameter Systems. International Series of Numerical Mathematics, vol 126. Birkhäuser, Basel

Abstract

We prove the approximate controllability property for some higher order parabolic nonlinear equations of Cahn-Hilliard type when the nonlinearity is of sublinear type at infinity. We also give a counterexample showing that this property may fail when the nonlinearity is of superlinear type.

1991 Mathematics Subject Classification

93B05 93C20 35K55 

Key words and phrases

Approximate controllability higher order nonlinear parabolic boundary value problems Cahn-Hilliard type equations 

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Copyright information

© Springer Basel AG 1998

Authors and Affiliations

  • J. I. Díaz
    • 1
  • A. M. Ramos
    • 2
  1. 1.Dpto. Matemática AplicadaUniversidad Complutense de MadridMadridSpain
  2. 2.Dpto. Informática y AutomáticaUniversidad Complutense de MadridMadridSpain

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