Geodesic
General differential Galois theory
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 42-43

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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. 
@article{VMUMM_2010_3_a8,
     author = {D. V. Trushin},
     title = {General differential {Galois} theory},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {42--43},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a8/}
}
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D. V. Trushin. General differential Galois theory. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2010), pp. 42-43. http://geodesic.mathdoc.fr/item/VMUMM_2010_3_a8/