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Simultaneous Observability of Plates

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Book cover New Prospects in Direct, Inverse and Control Problems for Evolution Equations

Part of the book series: Springer INdAM Series ((SINDAMS,volume 10))

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Abstract

We consider a finite number of independently vibrating rectangular plates, having a common side. We investigate whether the observation of the total force exerted by the plates at this common side is sufficient for the determination of the complete behaviour of each plate.

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Notes

  1. 1.

    The subscript y stands for the corresponding partial derivative.

  2. 2.

    We write g ≍ h if there exist two positive constants α, β, independent of the parameters j, k, n, such that α g ≤ h ≤ β g.

  3. 3.

    We write more correctly j, k instead of jk for more clarity.

References

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Author information

Authors and Affiliations

  1. Département de Mathématique, Université de Strasbourg, 7 rue René Descartes, 67084, Strasbourg Cedex, France

    Vilmos Komornik

  2. Sapienza Università di Roma, Dipartimento di Scienze di Base e Applicate per l’Ingegneria, via A. Scarpa n. 16, 00161, Roma, Italy

    Paola Loreti

Authors
  1. Vilmos Komornik
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  2. Paola Loreti
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Corresponding author

Correspondence to Vilmos Komornik .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Bologna, Bologna, Milano, Italy

    Angelo Favini

  2. Dipartimento di Matematica, Università di Bari, Bari, Bari, Italy

    Genni Fragnelli

  3. Dipartimento di Matematica, Università di Bari, Bari, Bari, Italy

    Rosa Maria Mininni

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Komornik, V., Loreti, P. (2014). Simultaneous Observability of Plates. In: Favini, A., Fragnelli, G., Mininni, R. (eds) New Prospects in Direct, Inverse and Control Problems for Evolution Equations. Springer INdAM Series, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-11406-4_11

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