ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES

Navasard Vardanyan

Received N/A; revised N/A; accepted N/A

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

In this paper we consider the concept of the multiplicity of intersection pointsof plane algebraic curvesp,q=0,based on partial differential operators. Weevaluate the exact number of maximal linearly independent differential condi-tions of degreekfor allk≥0.On the other hand, this gives the exact number ofmaximal linearly independent polynomial and polynomial-exponential solutions,of a given degreek,for homogeneous PDE systemp(D)f=0,q(D)f=0.

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