Email this article Solvability of certain inverse problems for the nonstationary kinetic transport equation
- Authors: Volkov N.P.1
-
Affiliations:
- National Research Nuclear University “MEPhI,”
- Issue: Vol 56, No 9 (2016)
- Pages: 1598-1603
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/178645
- DOI: https://doi.org/10.1134/S0965542516090153
- ID: 178645
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Abstract
Linear and nonlinear inverse problems for the nonstationary multispeed anisotropic kinetic transport equation are studied. Sufficient conditions for the existence and uniqueness of weak solutions to these problems in various function spaces are found. The proofs of the corresponding theorems imply that solutions of the inverse problems under study can be obtained by applying the method of successive approximations.
About the authors
N. P. Volkov
National Research Nuclear University “MEPhI,”
Author for correspondence.
Email: NPVolkov@yandex.ru
Russian Federation, Kashirskoe sh. 31, Moscow, 115409
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