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An inverse problem for a higher-order parabolic equation

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Abstract

We prove existence and uniqueness theorems for the inverse problem of finding the right-hand side of a higher-order parabolic equation with two independent variables and an additional condition in the form of integral overdetermination. The results obtained are used to study the passage to the limit in a sequence of such inverse problems with weakly convergent coefficients.

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Authors and Affiliations

  1. Computer Center of the Russian Academy of Sciences, USSR

    V. L. Kamynin

  2. Istituto di Analisi Globale ed Applicazioni, Firenze, Italy

    E. Franchini

Authors
  1. V. L. Kamynin
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  2. E. Franchini
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Translated fromMatematicheskie Zametki, Vol. 64, No. 5, pp. 680–691, November, 1998.

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Kamynin, V.L., Franchini, E. An inverse problem for a higher-order parabolic equation. Math Notes 64, 590–599 (1998). https://doi.org/10.1007/BF02316283

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  • DOI: https://doi.org/10.1007/BF02316283

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