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Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary

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Abstract.

In this paper the asymptotic behaviour of a second-order linear evolution problem is studied in a domain, a part of wich has an oscillating boundary. An homogeneous Neumann condition is given on the whole boundary of the domain. Moreover the behaviour of associated optimal control problem is analyzed.

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Authors and Affiliations

  1. DIIMA, Università degi Studi di Salerno, via Ponte don Melillo, Fisciano (SA), 84084, Italy

    Tiziana Durante

  2. DAEIMI, Università di Cassino, via G. Di Biasio n.43, 03043, Cassino (FR), Italy

    Luisa Faella

  3. DSGA, Università degli Studi del Sannio, via dei Mulini, 59/A, 82100, Benevento, Italy

    Carmen Perugia

Authors
  1. Tiziana Durante
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  2. Luisa Faella
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  3. Carmen Perugia
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Correspondence to Tiziana Durante.

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Durante, T., Faella, L. & Perugia, C. Homogenization and behaviour of optimal controls for the wave equation in domains with oscillating boundary. Nonlinear differ. equ. appl. 14, 455–489 (2007). https://doi.org/10.1007/s00030-007-3043-6

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  • DOI: https://doi.org/10.1007/s00030-007-3043-6

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