Geodesic
Lower bounds for the~functional dimension of the solution space of hypoelliptic operators
Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 341-353

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Lower bounds are established for the functional dimension of the solution space of hypoelliptic operators with constant coefficients. As a corollary of these estimates a criterion is found for the ellipticity of a differential operator in terms of the functional dimension. 
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     author = {G. G. Kazaryan and V. N. Markaryan},
     title = {Lower bounds for the~functional dimension of the solution space of hypoelliptic operators},
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G. G. Kazaryan; V. N. Markaryan. Lower bounds for the~functional dimension of the solution space of hypoelliptic operators. Sbornik. Mathematics, Tome 70 (1991) no. 2, pp. 341-353. http://geodesic.mathdoc.fr/item/SM_1991_70_2_a1/