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An Inverse Coefficient Problem for a Quasilinear Parabolic Equation of High Order

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Book cover Functional Analysis in Interdisciplinary Applications (FAIA 2017)

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 216))

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Abstract

In this paper an inverse problem of finding the time-dependent coefficient of heat capacity together with solution of high-order heat equation with nonlocal boundary and integral overdetermination conditions is considered. The existence and uniqueness of a solution of the inverse problem are proved by using the Fourier method and the iteration method. Continuous dependence upon the data of the inverse problem is shown.

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References

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Authors and Affiliations

  1. National University of Uzbekistan, 4 Universitetskaya st., Tashkent, 100174, Uzbekistan

    Asal V. Yuldasheva

Authors
  1. Asal V. Yuldasheva
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Correspondence to Asal V. Yuldasheva .

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Editors and Affiliations

  1. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Tynysbek Sh. Kalmenov

  2. Department of Mechanics and Mathematics, Kazakhstan Branch of Lomonosov Moscow State University, Astana, Kazakhstan

    Erlan D. Nursultanov

  3. Department of Mathematics, Imperial College London, London, United Kingdom

    Michael V. Ruzhansky

  4. Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan

    Makhmud A. Sadybekov

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Yuldasheva, A.V. (2017). An Inverse Coefficient Problem for a Quasilinear Parabolic Equation of High Order. In: Kalmenov, T., Nursultanov, E., Ruzhansky, M., Sadybekov, M. (eds) Functional Analysis in Interdisciplinary Applications. FAIA 2017. Springer Proceedings in Mathematics & Statistics, vol 216. Springer, Cham. https://doi.org/10.1007/978-3-319-67053-9_40

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