This article is cited in 1 paper

Mathematics

On constant coefficient PDE systems and intersection multiplicities

N. K. Vardanyan

Yerevan State University

Abstract: 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.

MSC: Primary 41A05, 41A63; Secondary 14H50

Received: 21.02.2020
Revised: 10.04.2020
Accepted: 17.04.2020

Language: English

DOI: 10.46991/PYSU:A/2020.54.2.108