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

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Control and Estimation of Distributed Parameter Systems

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 126))

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.

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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. https://doi.org/10.1007/978-3-0348-8849-3_9

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  • DOI: https://doi.org/10.1007/978-3-0348-8849-3_9

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9800-3

  • Online ISBN: 978-3-0348-8849-3

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