The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients
Izvestiya. Mathematics , Tome 70 (2006) no. 1, pp. 153-169
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We consider systems of linear partial differential equations with analytic coefficients and discuss existence and uniqueness theorems for their formal and analytic solutions. Using elementary methods, we define and describe an analogue of the Hilbert polynomial for such systems.
@article{IM2_2006_70_1_a6,
author = {A. G. Khovanskii and S. P. Chulkov},
title = {The {Hilbert} polynomial for systems of linear partial differential equations with analytic coefficients},
journal = {Izvestiya. Mathematics },
pages = {153--169},
publisher = {mathdoc},
volume = {70},
number = {1},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/IM2_2006_70_1_a6/}
}
TY - JOUR AU - A. G. Khovanskii AU - S. P. Chulkov TI - The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients JO - Izvestiya. Mathematics PY - 2006 SP - 153 EP - 169 VL - 70 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/IM2_2006_70_1_a6/ LA - en ID - IM2_2006_70_1_a6 ER -
%0 Journal Article %A A. G. Khovanskii %A S. P. Chulkov %T The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients %J Izvestiya. Mathematics %D 2006 %P 153-169 %V 70 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/IM2_2006_70_1_a6/ %G en %F IM2_2006_70_1_a6
A. G. Khovanskii; S. P. Chulkov. The Hilbert polynomial for systems of linear partial differential equations with analytic coefficients. Izvestiya. Mathematics , Tome 70 (2006) no. 1, pp. 153-169. http://geodesic.mathdoc.fr/item/IM2_2006_70_1_a6/