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Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems

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Abstract

In this paper, the authors define the strong (weak) exact boundary controllability and the strong (weak) exact boundary observability for first order quasilinear hyperbolic systems, and study their properties and the relationship between them.

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Authors and Affiliations

  1. School of Mathematical Sciences, Fudan University, Shanghai, 200433, China

    Tatsien Li

  2. Shanghai Key Laboratory for Contemporary Applied Mathematics, Nonlinear Mathematical Modeling and Methods Laboratory, Shanghai, China

    Tatsien Li

  3. Institut de Recherche Mathématique Avancée, Université de Strasbourg, 67084, Strasbourg, France

    Bopeng Rao

Authors
  1. Tatsien Li
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  2. Bopeng Rao
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Correspondence to Tatsien Li.

Additional information

Dedicated to Professor Roger Temam on the Occasion of his 70th Birthday

Project supported by the Basic Research Program of China (No. 2007CB814800).

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Li, T., Rao, B. Strong (weak) exact controllability and strong (weak) exact observability for quasilinear hyperbolic systems. Chin. Ann. Math. Ser. B 31, 723–742 (2010). https://doi.org/10.1007/s11401-010-0600-9

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  • DOI: https://doi.org/10.1007/s11401-010-0600-9

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