Ufa Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Ufimsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Ufa Mathematical Journal, 2011, Volume 3, Issue 2, Pages 89–95 (Mi ufa97)  
This article is cited in 2 scientific papers (total in 2 papers)

Commuting differential operators in two-dimension

A. B. Shabat, Z. S. Elkanova

Aliev Karachaevo-Cherkesiya State University, Karachaevsk, Republic of Karachaevo-Cherkesiya, Russia
English version PDF (367 kB) Citations (2) Russian version article
References:
PDF
HTML
Abstract: A generalization to the multi-dimensional case of commutative rings of differential operators is considered. An algorithm for construction of commuting two-dimensional differential operators is formulated for a special kind of operators related to the simple one-dimensional model proposed by Burchnall and Chaundy in 1932. The problem of classifying such commutative pairs is discussed. The suggested algorithm is based on necessary conditions for general commutativity and the reducibility lemma proved in the present paper.
Keywords: commuting ring of differential operators, commuting two-dimensional differential operators.
Received: 10.05.2011
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: English
Original paper language: Russian
Citation: A. B. Shabat, Z. S. Elkanova, “Commuting differential operators in two-dimension”, Ufa Math. J., 3:2 (2011), 89–95
Citation in format AMSBIB
\Bibitem{ShaElk11}
\by A.~B.~Shabat, Z.~S.~Elkanova
\paper Commuting differential operators in two-dimension
\jour Ufa Math. J.
\yr 2011
\vol 3
\issue 2
\pages 89--95
\mathnet{http://mi.mathnet.ru//eng/ufa97}
\zmath{https://zbmath.org/?q=an:1249.13019}
Linking options:
  • https://www.mathnet.ru/eng/ufa97
  • https://www.mathnet.ru/eng/ufa/v3/i2/p91
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Уфимский математический журнал
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024