Differential operators commuting in the principal part

被引：0
|
作者：
R. A. Gabiev
A. B. Shabat
机构：
[1] Aliev Karachai-Cherkess State University,
[2] Landau Institute for Theoretical Physics,undefined
来源：
Theoretical and Mathematical Physics | 2012年 / 171卷
关键词：
commutative ring of differential operators; Schur’s formula; classification;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We consider commuting differential operators with two independent variables of general form and obtain general necessary commutativity conditions for low-order operators. We show that these conditions allow classifying commuting pairs of operators whose coefficients are linear functions of the independent variables.
引用
收藏
页码：435 / 441
页数：6
相关论文
共 50 条
  • [1] Differential operators commuting in the principal part
    Gabiev, R. A.
    Shabat, A. B.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2012, 171 (01) : 435 - 441
  • [2] ON COMMUTING DIFFERENTIAL OPERATORS
    Weikard, R.
    [J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2000,
  • [3] Commuting differential operators
    A. B. Shabat
    Z. S. Elkanova
    [J]. Theoretical and Mathematical Physics, 2010, 162 : 276 - 285
  • [4] Commuting differential operators
    Shabat, A. B.
    Elkanova, Z. S.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2010, 162 (03) : 276 - 285
  • [5] On commuting differential operators of rank 2
    Davletshina, V. N.
    Shamaev, E. I.
    [J]. SIBERIAN MATHEMATICAL JOURNAL, 2014, 55 (04) : 606 - 610
  • [6] Commuting Differential Operators with Elliptic Coefficients
    Previato, E.
    [J]. MALAYSIAN JOURNAL OF MATHEMATICAL SCIENCES, 2019, 13 (02): : 283 - 296
  • [7] Commuting differential operators of rank two
    Ochiai, H
    [J]. INDAGATIONES MATHEMATICAE-NEW SERIES, 1996, 7 (02): : 243 - 255
  • [8] ON COMMUTING DIFFERENTIAL OPERATORS OF RANK 2
    Mironov, A. E.
    [J]. SIBERIAN ELECTRONIC MATHEMATICAL REPORTS-SIBIRSKIE ELEKTRONNYE MATEMATICHESKIE IZVESTIYA, 2009, 6 : 533 - 536
  • [9] On commuting differential operators of rank 2
    V. N. Davletshina
    E. I. Shamaev
    [J]. Siberian Mathematical Journal, 2014, 55 : 606 - 610
  • [10] Differential operators commuting with invariant functions
    Levasseur, T
    Stafford, JT
    [J]. COMMENTARII MATHEMATICI HELVETICI, 1997, 72 (03) : 426 - 433
12345