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On reconstruction of an input of a parabolic equation on an infinite time interval

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Abstract

For a parabolic equation we consider the problem of the dynamic reconstruction of inputs from measurements of phase coordinates on an infinite time interval. We propose an algorithm based on constructions of the dynamic inversion theory. The algorithm is stable with respect to informational noises and computational errors.

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, ul. S. Kovalevskoi 16, Ekaterinburg, 620990, Russia

    M. S. Blizorukova & V. I. Maksimov

Authors
  1. M. S. Blizorukova
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  2. V. I. Maksimov
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Corresponding author

Correspondence to M. S. Blizorukova.

Additional information

Original Russian Text © M.S. Blizorukova, V.I. Maksimov, 2014, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2014, No. 8, pp. 30–41.

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Blizorukova, M.S., Maksimov, V.I. On reconstruction of an input of a parabolic equation on an infinite time interval. Russ Math. 58, 24–34 (2014). https://doi.org/10.3103/S1066369X14080039

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  • DOI: https://doi.org/10.3103/S1066369X14080039

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