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Inverse problem for a parabolic equation with strong power degeneration

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Abstract

We consider the inverse problem of determining the time-dependent coefficient of the leading derivative in a full parabolic equation under the assumption that this coefficient is equal to zero at the initial moment of time. We establish conditions for the existence and uniqueness of a classical solution of the problem under consideration.

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Authors and Affiliations

  1. Lviv National University, Lviv

    M. I. Ivanchov & N. V. Saldina

Authors
  1. M. I. Ivanchov
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  2. N. V. Saldina
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 58, No. 11, pp. 1487–1500, November, 2006.

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Ivanchov, M.I., Saldina, N.V. Inverse problem for a parabolic equation with strong power degeneration. Ukr Math J 58, 1685–1703 (2006). https://doi.org/10.1007/s11253-006-0162-x

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  • DOI: https://doi.org/10.1007/s11253-006-0162-x

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