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On Approximation of Coefficient Inverse Problems for Differential Equations in Functional Spaces

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Abstract

This paper is devoted to the theory of approximation of coefficient inverse problems for differential equations of parabolic, elliptic, and hyperbolic types in functional spaces. We present general statements of problems and their approximations and review results obtained earlier in the literature.

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Authors and Affiliations

  1. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia

    D. G. Orlovsky

  2. Scientific Research Computer Center, M. V. Lomonosov Moscow State University, Moscow, Russia

    S. I. Piskarev

  3. Russian Institute for Scientific and Technical Information, Moscow, Russia

    S. I. Piskarev

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  1. D. G. Orlovsky
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Correspondence to D. G. Orlovsky.

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Translated from Itogi Nauki i Tekhniki, Seriya Sovremennaya Matematika i Ee Prilozheniya. Tematicheskie Obzory, Vol. 133, Functional Analysis, 2017.

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Orlovsky, D.G., Piskarev, S.I. On Approximation of Coefficient Inverse Problems for Differential Equations in Functional Spaces. J Math Sci 230, 823–906 (2018). https://doi.org/10.1007/s10958-018-3798-9

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