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Journal of Mathematical Sciences

, Volume 237, Issue 4, pp 576–594 | Cite as

Inverse Source and Coefficient Problems for Elliptic and Parabolic Equations in Hölder and Sobolev Spaces

  • A. I. PrilepkoEmail author
  • A. B. Kostin
  • V. V. Solov’ev
Article
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We review some results obtained by the authors during the last 15 years. In particular, we present the existence and uniqueness theorems for linear and nonlinear inverse problems of reconstructing unknown coefficients in elliptic and parabolic equations.

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Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2019

Authors and Affiliations

  • A. I. Prilepko
    • 1
    Email author
  • A. B. Kostin
    • 2
  • V. V. Solov’ev
    • 2
  1. 1.Lomonosov Moscow State UniversityMoscowRussia
  2. 2.National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)MoscowRussia

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