Siberian Federal University 
- Issue
- Journal of Siberian Federal University. Mathematics & Physics. 2017 10 (1)
- Authors
- Lyubanova, Anna Sh.
- Contact information
- Anna Sh. Lyubanova : Institute of Space and Information Technologies Siberian Federal University Svobodny, 79, Krasnoyarsk, 660041 Russia,
- Keywords
- local existence and uniqueness theorem; a priori estimate; inverse problem; nonlinear higher- order equation; pseudoparabolic equation; filtration
- Abstract
The paper discusses the correctness of the inverse problem on finding an unknown coefficient dependent on t in the nonlinear pseudoparabolic equation of the third order with an additional information on the boundary. The existence and uniqueness theorem is proven. The proof of the theorem is carried out by the reduction of the original inverse problem to the equivalent one with an operator equation for the unknown coefficient.
- Pages
- 4-15
- DOI
- 10.17516/1997-1397-2017-10-1-4-15
- Paper at repository of SibFU
- https://elib.sfu-kras.ru/handle/2311/30002
Journal of Siberian Federal University. Mathematics & Physics / The Inverse Problem for the Nonlinear Pseudoparabolic Equation of Filtration Type
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