Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2010, Number 3, Pages 42–43 (Mi vmumm785)  
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General differential Galois theory

D. V. Trushin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Full-text PDF (295 kB)
Abstract: The general Galois theory of nonlinear partial differential equations is presented in the paper. For each system of differential equations, its splitting field and the differential Galois group are defined. The main result is the theorem on the Galois correspondence for normal extensions.
Key words: tensor products, constructed fields, differential closure, splitting fields, differential Galois group.
Received: 02.09.2009
Bibliographic databases:
Document Type: Article
UDC: 512.628.2
Language: Russian
Citation: D. V. Trushin, “General differential Galois theory”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 3, 42–43
Citation in format AMSBIB
\Bibitem{Tru10}
\by D.~V.~Trushin
\paper General differential Galois theory
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 2010
\issue 3
\pages 42--43
\mathnet{http://mi.mathnet.ru/vmumm785}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2961968}
\zmath{https://zbmath.org/?q=an:1304.12002}
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