Construction of solutions of a partial differential equation with constant coefficients using the form of formal series. II
type: Item
instance of: scholarly article
title: Construction of solutions of a partial differential equation with constant coefficients using the form of formal series. II
zbMATH Open document ID: 0835.35023
DOI: 10.1007/BF02333409
author: G. Dosinas
author: Zenonas Navickas
published in: Lithuanian Mathematical Journal
publication date: 1995-11-07T00:00:00Z
review text: The paper is the second part of the authors' paper published in Lith. Math. J. 31, No. 3, 285-292 (1991); translation from Litov. Mat. Sb. 31, No. 3, 411-419 (1991; Zbl 0786.35024). Using polynomial solutions of regular differential equations from the first part of the paper and commutative composition of the operator \[ Lu(x, y)= \sum_{nk+ ml= d} a_{kl} D_x^k D_y^l u(x, y), \] where \(a_{kl}\) are complex constants, the authors present the set of independent polynomial solutions of the equation \(Lu= 0\).
Mathematics Subject Classification ID: 35C10
Mathematics Subject Classification ID: 35E20
Mathematics Subject Classification ID: 35G05
zbMATH DE Number: 813130
zbMATH Keywords: polynomial solutions
Wikidata QID: Q115392484
reviewed by: Marie Kopáčková
MaRDI profile type: Publication
cites work: Q3766250
cites work: Construction of solutions of a partial differential equation with constant coefficients using the form of formal series. I
full work available at URL: https://doi.org/10.1007/bf02333409
OpenAlex ID: W4206555368
description: scientific article; zbMATH DE number 813130