Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2022, Volume 213, Pages 72–79
DOI: https://doi.org/10.36535/0233-6723-2022-213-72-79 (Mi into1050) 		 
Inverse problem for the Boussinesq–Love equation

A. A. Mukhametyarova

Chelyabinsk Polytechnical Institute
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DOI: https://doi.org/10.36535/0233-6723-2022-213-72-79
Abstract: For an abstract, high-order, incomplete Sobolev-type equation, an inverse problem with final redefinition is considered. Conditions for the unique solvability of the problem are found. Some special cases are considered. The main result contains necessary and sufficient conditions for the existence and uniqueness of a solution of the inverse problem for high-order, Sobolev-type equations. This technique is applied to the study of the inverse problem for the Boussinesq–Love equation.
Keywords: high-order Sobolev-type equation, Boussinesq–Love equation, inverse problem, unique solvability.
Document Type: Article
UDC: 517.9
MSC: 47D03, 35R30
Language: Russian
Citation: A. A. Mukhametyarova, “Inverse problem for the Boussinesq–Love equation”, Geometry, Mechanics, and Differential Equations, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 213, VINITI, Moscow, 2022, 72–79
Citation in format AMSBIB
\Bibitem{Muk22}
\by A.~A.~Mukhametyarova
\paper Inverse problem for the Boussinesq--Love equation
\inbook Geometry, Mechanics, and Differential Equations
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2022
\vol 213
\pages 72--79
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1050}
\crossref{https://doi.org/10.36535/0233-6723-2022-213-72-79}
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