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State Constrained Optimal Control for some Quasilinear Parabolic Equations

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Optimal Control of Partial Differential Equations

Part of the book series: ISNM International Series of Numerical Mathematics ((ISNM,volume 133))

Abstract

We study optimal control problems where the system is governed by some quasilinear parabolic equations and there are restrictions on the control as well as on the state. The distributed control can appear in all the coefficients of the operator. State constraints of integral type and also pointwise in time are considered. Our main interest is the derivation of the first order optimality conditions. Finally, an application to exact controllability in finite dimensional subspaces is given.

This work was partially supported by DGICYT (Spain). Proyect PB 94 - 1067.

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Author information

Authors and Affiliations

  1. Departamento de Matemáticas, Estadística y Computación Facultad de Ciencias, Universidad de Cantabria, Avda. de los Castros, s/n, 39071, Santander, Spain

    Luis A. Fernández

Authors
  1. Luis A. Fernández
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Editor information

Editors and Affiliations

  1. Zentrum Mathematik, Technische Universität München, Arcisstraße 21, 80333, München, Germany

    Karl-Heinz Hoffmann

  2. Mathematisches Institut, Universität Bayreuth, 95440, Bayreuth, Germany

    Günter Leugering

  3. Fakultät für Mathematik, TU Chemnitz, 09107, Chemnitz, Germany

    Fredi Tröltzsch

  4. 53111, Bonn, Germany

    Stiftung Caesar

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© 1999 Springer Basel AG

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Fernández, L.A. (1999). State Constrained Optimal Control for some Quasilinear Parabolic Equations. In: Hoffmann, KH., Leugering, G., Tröltzsch, F., Caesar, S. (eds) Optimal Control of Partial Differential Equations. ISNM International Series of Numerical Mathematics, vol 133. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8691-8_12

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  • DOI: https://doi.org/10.1007/978-3-0348-8691-8_12

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9731-0

  • Online ISBN: 978-3-0348-8691-8

  • eBook Packages: Springer Book Archive

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