Linear Inverse Problems for Ultraparabolic Equations: The Case of Unknown Coefficient of Spatial Type
- Authors: Kozhanov A.I.1,2, Kosheleva Y.A.3
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Sakhalin State University
- Issue: Vol 230, No 1 (2018)
- Pages: 67-78
- Section: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/240614
- DOI: https://doi.org/10.1007/s10958-018-3728-x
- ID: 240614
Cite item
Abstract
We study the solvability of linear inverse problems for ultraparabolic equations with an unknown coefficient depending only on the spatial variables. The feature of such problems is special overdetermination conditions. We use the method based on reducing the inverse problem to a nonlocal boundary-value problem for ultraparabolic equations.
About the authors
A. I. Kozhanov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: kozhanov@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr, Novosibirsk, 630090; 1, Pirogova St, Novosibirsk, 630090
Yu. A. Kosheleva
Sakhalin State University
Email: kozhanov@math.nsc.ru
Russian Federation, 290, Lenina St, Yuzhno-Sakhalinsk, 693008
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