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Mathematical notes of NEFU, 2017, Volume 24, Issue 4, Pages 67–75
DOI: https://doi.org/10.25587/SVFU.2018.4.11317 (Mi svfu201) 		 
Mathematics

The stationary Galerkin method applied to the first boundary value problem for a higher order equation with changing time direction

V. E. Fedorov

M. K. Ammosov North-Eastern Federal University, Scientific Institute of Mathematics, 48 Kulakovsky Street, Yakutsk 677000, Russia
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DOI: https://doi.org/10.25587/SVFU.2018.4.11317
Abstract: We prove the existence of the unique regular solution to the first boundary value problem for the higher order equation with changing time direction in the Sobolev space. The stationary Galerkin method is applied for which the estimate of the rate of convergence is obtained in the terms of the eigenvalues to the self-adjoint spectral problem for the quasielliptic equation.
Keywords: higher-order equation, changing time direction, first boundary value problem, regular solvability, Sobolev space, stationary Galerkin method, convergence rate estimate.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.6069.2017/8.9
Received: 20.10.2017
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: V. E. Fedorov, “The stationary Galerkin method applied to the first boundary value problem for a higher order equation with changing time direction”, Mathematical notes of NEFU, 24:4 (2017), 67–75
Citation in format AMSBIB
\Bibitem{Fed17}
\by V.~E.~Fedorov
\paper The stationary Galerkin method applied to the first boundary value problem for a higher order equation with changing time direction
\jour Mathematical notes of NEFU
\yr 2017
\vol 24
\issue 4
\pages 67--75
\mathnet{http://mi.mathnet.ru/svfu201}
\crossref{https://doi.org/10.25587/SVFU.2018.4.11317}
\elib{https://elibrary.ru/item.asp?id=32724030}
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