Geodesic
On~a~coercive inequality for an elliptic operator in infinitely many independent variables
Sbornik. Mathematics, Tome 19 (1973) no. 3, pp. 395-406

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In the present paper a coercive inequality is established for an infinite-dimensional elliptic differential operator of order $2m$, and a theorem on smoothness of a generalized solution of the Dirichlet problem for an equation containing such an operator is established. Bibliography: 7 titles. 
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     author = {N. N. Frolov},
     title = {On~a~coercive inequality for an elliptic operator in infinitely many independent variables},
     journal = {Sbornik. Mathematics},
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     number = {3},
     year = {1973},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_1973_19_3_a2/}
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N. N. Frolov. On~a~coercive inequality for an elliptic operator in infinitely many independent variables. Sbornik. Mathematics, Tome 19 (1973) no. 3, pp. 395-406. http://geodesic.mathdoc.fr/item/SM_1973_19_3_a2/