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


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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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A. Prilepko

Lomonosov Moscow State University

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Email: prilepko.ai@yandex.ru
俄罗斯联邦, 1, Leninskie Gory, Moscow, 119992

A. Kostin

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: prilepko.ai@yandex.ru
俄罗斯联邦, 31, Kashirskoe shosse, Moscow, 115409

V. Solov’ev

National Research Nuclear University MEPhI (Moscow Engineering Physics Institute)

Email: prilepko.ai@yandex.ru
俄罗斯联邦, 31, Kashirskoe shosse, Moscow, 115409

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