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Some Problems and Results on the Controllability of Partial Differential Equations

  • Conference paper
European Congress of Mathematics

Part of the book series: Progress in Mathematics ((PM,volume 169))

Abstract

We present some recent results on the controllability of Partial Differential Equations. We discuss the different notions of controllability and comment on how feasible they are depending on the nature of the system under consideration. We discuss both the wave and heat equations as model examples of conservative and irreversible systems respectively and we describe the different tools that have been developed to address these problems. We also present some recent results on the controllability of the linear system of thermoelasticity which is the simplest one coupling both the hyperbolic and the parabolic nature of the wave and heat equation respectively.

This work was partially supported by DGICYT (Spain) grant PB93-1203 and grant CHRX- CT94-0471 of the European Union.

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Authors and Affiliations

  1. Departamento de Matemática Aplicada, Universidad Complutense, 28040, Madrid, Spain

    Enrique Zuazua

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  1. Enrique Zuazua
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Editors and Affiliations

  1. Hungarian Academy of Sciences, Mathematical Institute, Reáltanoda str. 13-15, H-1053, Budapest, Hungary

    A. Balog , G. O. H. Katona  & D. Sza’sz ,  & 

  2. Mathematical Institute, Technical University of Budapest, H-1521, Budapest, Hungary

    A. Recski

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Zuazua, E. (1998). Some Problems and Results on the Controllability of Partial Differential Equations. In: Balog, A., Katona, G.O.H., Recski, A., Sza’sz, D. (eds) European Congress of Mathematics. Progress in Mathematics, vol 169. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8898-1_18

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  • DOI: https://doi.org/10.1007/978-3-0348-8898-1_18

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9819-5

  • Online ISBN: 978-3-0348-8898-1

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