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Decay Estimates for the Wave Equation

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Control and Optimal Design of Distributed Parameter Systems

Part of the book series: The IMA Volumes in Mathematics and its Applications ((IMA,volume 70))

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Abstract

Using the multiplier method and a special integral inequality we obtain sharp energy decay rate estimates for the wave equation in the presence of nonlinear distributed or boundary feedbacks. For simplicity we restrict ourselves to the wave equation, but the same approach applies for other systems as well.

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Author information

Authors and Affiliations

  1. Département de Mathématiques, Université Louis Pasteur, 7, rue René Descartes, 67084, Strasbourg Cédex, France

    Vilmos Komornik

Authors
  1. Vilmos Komornik
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Editor information

Editors and Affiliations

  1. Department of Mathematics, Georgetown University, 20057, Washington, DC, USA

    John E. Lagnese

  2. Department of Mathematics, Virginia Polytechnic and State University, 24061-0123, Blacksburg, VA, USA

    David L. Russell

  3. Department of Mathematics, University of Oklahoma, 601 Elm Avenue, Room 423, 73019-0315, Norman, OK, USA

    Luther W. White

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© 1995 Springer-Verlag New York, Inc.

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Komornik, V. (1995). Decay Estimates for the Wave Equation. In: Lagnese, J.E., Russell, D.L., White, L.W. (eds) Control and Optimal Design of Distributed Parameter Systems. The IMA Volumes in Mathematics and its Applications, vol 70. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8460-1_7

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  • DOI: https://doi.org/10.1007/978-1-4613-8460-1_7

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8462-5

  • Online ISBN: 978-1-4613-8460-1

  • eBook Packages: Springer Book Archive

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