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On optimal boundary control problem for a strongly degenerate elliptic equation

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Abstract

In this paper we study an optimal control problem for a linear boundary value problem with strongly degenerate coefficient in the main part of the elliptic operator and with the Neumann boundary control. Given a cost functional, the objective is to provide the well-posedness analysis of the corresponding optimal control problem, prove existence of the optimal solutions and propose the scheme for their approximation.

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Authors and Affiliations

  1. Dipartimento di Ingegneria dell’Informazione, ed Elettrica e Matematica Applicata, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, 84084, Fisciano, SA, Italy

    Tiziana Durante & Rosanna Manzo

  2. Department of System Analysis and Control, University of Technology “Dnipro Polytechnics”, Yavornitsky Av., 19, Dnipro, 49005, Ukraine

    Olha P. Kupenko

  3. Institute of Applied and System Analysis, Ihor Sikorsky National Technical University of Ukraine “Kiev Polytechnical Institute”, Peremogy Av., 37, Build. 35, Kiev, 03056, Ukraine

    Olha P. Kupenko

Authors
  1. Tiziana Durante
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  2. Olha P. Kupenko
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  3. Rosanna Manzo
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Correspondence to Rosanna Manzo.

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Durante, T., Kupenko, O.P. & Manzo, R. On optimal boundary control problem for a strongly degenerate elliptic equation. Rev Mat Complut 33, 63–88 (2020). https://doi.org/10.1007/s13163-019-00310-5

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  • DOI: https://doi.org/10.1007/s13163-019-00310-5

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