Geodesic
Linear determining equations for differential constraints
Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1839-1854

Voir la notice de l'article provenant de la source Math-Net.Ru

A construction of differential constraints compatible with partial differential equations is considered. Certain linear determining equations with parameters are used to find such differential constraints. They generalize the classical determining equations used in the search for admissible Lie operators. As applications of this approach equations of an ideal incompressible fluid and non-linear heat equations are discussed. 
@article{SM_1998_189_12_a6,
     author = {O. V. Kaptsov},
     title = {Linear determining equations for differential constraints},
     journal = {Sbornik. Mathematics},
     pages = {1839--1854},
     publisher = {mathdoc},
     volume = {189},
     number = {12},
     year = {1998},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1998_189_12_a6/}
}
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O. V. Kaptsov. Linear determining equations for differential constraints. Sbornik. Mathematics, Tome 189 (1998) no. 12, pp. 1839-1854. http://geodesic.mathdoc.fr/item/SM_1998_189_12_a6/