Observability of discretized wave equations - doi: 10.5269/bspm.v25i1-2.7426

Authors

  • Paola Loreti Universitµa degli Studi di Roma \La Sapienza"
  • Vilmos Komornik Université Louis Pasteur

DOI:

https://doi.org/10.5269/bspm.v25i1-2.7426

Keywords:

Observability, Fourier series, vibrating strings.

Abstract

We establish several boundary observability results for finite-dimensional approximations of systems of strings and beams via space discretization. Our results allow us to recover the optimal observability theorems concerning the continuous case by a limit process.

Author Biography

  • Paola Loreti, Universitµa degli Studi di Roma \La Sapienza"

    Dipartimento di Metodi e Modelli

    Matematici per le Scienze Applicate

    Universitµa degli Studi di Roma \La Sapienza"

    Via A. Scarpa, 16

    00161 Roma, Italy

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