Geodesic
On constant coefficient PDE systems and intersection multiplicities
Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 2, pp. 108-114

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In this paper we consider the concept of the multiplicity of intersection points of plane algebraic curves $p,q=0,$ based on partial differential operators. We evaluate the exact number of maximal linearly independent differential conditions of degree $k$ for all $k\ge 0.$ On the other hand, this gives the exact number of maximal linearly independent polynomial and polynomial-exponential solutions, of a given degree $k,$ for homogeneous PDE system $p(D)f=0,$ $q(D)f=0.$
Keywords: intersection point, multiplicity, PDE system. 
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     title = {On constant coefficient {PDE} systems and intersection multiplicities},
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N. K. Vardanyan. On constant coefficient PDE systems and intersection multiplicities. Proceedings of the Yerevan State University. Physical and mathematical sciences, Tome 54 (2020) no. 2, pp. 108-114. http://geodesic.mathdoc.fr/item/UZERU_2020_54_2_a4/