ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES

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ON CONSTANT COEFFICIENT PDE SYSTEMS AND INTERSECTION MULTIPLICITIES Navasard Vardanyan

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.

DOI: 10.46991/PYSU:A/2020.54.2.108 Physical and Mathematical Sciences, 54(2 (252) 108-114

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Keywords

intersection point, multiplicity, PDE system

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