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Identification Problems for Degenerate Integro-Differential Equations

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Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs

Part of the book series: Springer INdAM Series ((SINDAMS,volume 22))

Abstract

We are concerned with two different inverse problems for degenerate integro-differential equations in Banach spaces. In the first, we handle a strongly degenerate problem on a finite interval, while in the second we consider a related inverse problem for integro-differential equations studied by G. Da Prato and A. Lunardi in the regular case. All these results can be applied to inverse problems for equations from mathematical physics.

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Acknowledgements

This paper is dedicated to Prof. Gianni Gilardi on the occasion of his 70th birthday. AF gratefully acknowledges some financial support from GNAMPA and RFO of the University of Bologna.

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Authors and Affiliations

  1. Department of Mathematics, The University of Jordan, Amman, Jordan

    Mohammed Al Horani

  2. Dipartimento di Matematica, Università di Bologna, Piazza di Porta S.Donato 5, 40126, Bologna, Italy

    Mauro Fabrizio & Angelo Favini

  3. Hirai Sanso 12-13, 665-0817, Takarazuka, Japan

    Hiroki Tanabe

Authors
  1. Mohammed Al Horani
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  2. Mauro Fabrizio
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  3. Angelo Favini
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  4. Hiroki Tanabe
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Corresponding author

Correspondence to Angelo Favini .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Pavia, Pavia, Italy

    Pierluigi Colli

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

    Angelo Favini

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

    Elisabetta Rocca

  4. Dipartimento di Matematica, Università di Pavia, Pavia, Italy

    Giulio Schimperna

  5. für Angewandte Analysis und Stochastik (WIAS), Weierstraß-Institut , Berlin, Germany

    Jürgen Sprekels

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Al Horani, M., Fabrizio, M., Favini, A., Tanabe, H. (2017). Identification Problems for Degenerate Integro-Differential Equations. In: Colli, P., Favini, A., Rocca, E., Schimperna, G., Sprekels, J. (eds) Solvability, Regularity, and Optimal Control of Boundary Value Problems for PDEs. Springer INdAM Series, vol 22. Springer, Cham. https://doi.org/10.1007/978-3-319-64489-9_3

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