Inverse Problem of Determination of Source Function in Nondivergent Parabolic Equation

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Abstract


We obtain unique solvability for the inverse problem of determination of the unknown righthand
side in multidimensional nondivergent parabolic equation. The additional information is
included in the integral ∫︀
0 (, )()d, where () is a given weight function. We adduce
the examples of the inverse problems satisfying the conditions imposed.

V L Kamynin

National Research Nuclear University MEPhI

Email: vlkamynin2008@yandex.ru
Кафедра высшей математики; Национальный исследовательский ядерный университет «МИФИ»; National Research Nuclear University MEPhI

T I Bukharova

National Research Nuclear University MEPhI

Email: bukharova_t@mail.ru
Кафедра высшей математики; Национальный исследовательский ядерный университет «МИФИ»; National Research Nuclear University MEPhI

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Copyright (c) 2012 Камынин В.Л., Бухарова Т.И.

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