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On Reconstruction of a Source Term Depending on Time and Space Variables in a Parabolic Mixed Problem

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Abstract

We determine a factor depending on both time and one of the spaces variables in a mixed parabolic system in a cylindrical domain. In order to do this, we employ a certain supplementary information, concerning a space-time measurement of the solution.

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Authors and Affiliations

  1. Dipartimento di matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126, Bologna, Italy

    Davide Guidetti

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  1. Davide Guidetti
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Correspondence to Davide Guidetti.

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Davide Guidetti is a member of the GNAMPA of Istituto Nazionale di Alta Matematica.

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Guidetti, D. On Reconstruction of a Source Term Depending on Time and Space Variables in a Parabolic Mixed Problem. Mediterr. J. Math. 13, 4537–4565 (2016). https://doi.org/10.1007/s00009-016-0761-1

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  • DOI: https://doi.org/10.1007/s00009-016-0761-1

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