A.G. Khovanskii, S.P. Chulkov. Hilbert polynomial for a system of linear partial differential equations.
Publication date: October 3, 2005. Keywords: systems of linear partial differential equations, existence and uniqueness
of formal and analytic solutions, differential Gröbner bases,
Cauchy-Kowalevskaya type theorems, Hilbert polynomial, combinatorics of
the semigroup $\mathbb
Z^n_{\geqslant 0}$. 2000 MSC:Primary 35G05, Secondary 35A10, 35N10.
