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Contemporary Mathematics. Fundamental Directions, 2023, Volume 69, Issue 4, Pages 565–577
DOI: https://doi.org/10.22363/2413-3639-2023-69-4-565-577 (Mi cmfd514) 		 
On ellipticity of operators with shear mappings

A. V. Boltachev

RUDN University, Moscow, Russia
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DOI: https://doi.org/10.22363/2413-3639-2023-69-4-565-577
Abstract: The nonlocal boundary value problems are considered, in which the main operator and the operators in the boundary conditions include the differential operators and twisting operators. The definition of the trajectory symbols for this class of problems is given. We show that the elliptic problems define the Fredholm operators in the corresponding Sobolev spaces. The ellipticity condition of such nonlocal boundary value problem is given.
Keywords: ellipticity, twisting operator, Fredholm operator, trajectory symbol, nonlocal boundary-value problem.
Funding agency Grant number
Russian Foundation for Basic Research 21-51-12006-ННИО
The study was carried out with financial support from the Russian Foundation for Basic Research within the framework of the scientific project 21-51-12006-NNIO.
Bibliographic databases:
Document Type: Article
UDC: 515.168.5, 517.96
Language: Russian
Citation: A. V. Boltachev, “On ellipticity of operators with shear mappings”, CMFD, 69, no. 4, PFUR, M., 2023, 565–577
Citation in format AMSBIB
\Bibitem{Bol23}
\by A.~V.~Boltachev
\paper On ellipticity of operators with shear mappings
\serial CMFD
\yr 2023
\vol 69
\issue 4
\pages 565--577
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd514}
\crossref{https://doi.org/10.22363/2413-3639-2023-69-4-565-577}
\edn{https://elibrary.ru/ECEVOW}
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