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Second-Order Degenerate Identification Differential Problems

Author

Listed:
  • M. Al Horani

    (University of Jordan)

  • A. Favini

    (Università degli Studi di Bologna)

  • A. Lorenzi

    (Università degli Studi di Milano)

Abstract

We are concerned with second-order degenerate identification problems related to closed operators in a Banach space. Suitable hypotheses on the involved operators are made in order to reduce the given problem to a solvable first-order problem of (weak) parabolic type. Some applications to partial differential equations are given to show the fullness of our abstract results.

Suggested Citation

  • M. Al Horani & A. Favini & A. Lorenzi, 2009. "Second-Order Degenerate Identification Differential Problems," Journal of Optimization Theory and Applications, Springer, vol. 141(1), pages 13-36, April.
  • Handle: RePEc:spr:joptap:v:141:y:2009:i:1:d:10.1007_s10957-008-9497-9
    DOI: 10.1007/s10957-008-9497-9
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    References listed on IDEAS

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    1. M. Al Horani & A. Favini, 2004. "Degenerate Second-Order Identification Problem in Banach Spaces," Journal of Optimization Theory and Applications, Springer, vol. 120(2), pages 305-326, February.
    2. M. AL Horani & A. Favini, 2006. "An Identification Problem for First-Order Degenerate Differential Equations," Journal of Optimization Theory and Applications, Springer, vol. 130(1), pages 41-60, July.
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