Teoreticheskaya i Matematicheskaya Fizika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


TMF:
Year:
Volume:
Issue:
Page:
Find




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

Teoreticheskaya i Matematicheskaya Fizika, 2012, Volume 171, Number 1, Pages 18–25
DOI: https://doi.org/10.4213/tmf6920 (Mi tmf6920) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Differential operators commuting in the principal part

R. A. Gabieva, A. B. Shabatb

a Aliev Karachai-Cherkess State University, Karachaevsk, Russia
b Landau Institute for Theoretical Physics, Chernogolovka, Moscow Oblast, Russia
Full-text PDF (397 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/tmf6920
Abstract: 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.
Keywords: commutative ring of differential operators, Schur's formula, classification.
Received: 02.06.2011
English version:
Theoretical and Mathematical Physics, 2012, Volume 171, Issue 1, Pages 435–441
DOI: https://doi.org/10.1007/s11232-012-0042-5
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: R. A. Gabiev, A. B. Shabat, “Differential operators commuting in the principal part”, TMF, 171:1 (2012), 18–25; Theoret. and Math. Phys., 171:1 (2012), 435–441
Citation in format AMSBIB
\Bibitem{GabSha12}
\by R.~A.~Gabiev, A.~B.~Shabat
\paper Differential operators commuting in the~principal part
\jour TMF
\yr 2012
\vol 171
\issue 1
\pages 18--25
\mathnet{http://mi.mathnet.ru/tmf6920}
\crossref{https://doi.org/10.4213/tmf6920}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3168857}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2012TMP...171..435G}
\elib{https://elibrary.ru/item.asp?id=20732443}
\transl
\jour Theoret. and Math. Phys.
\yr 2012
\vol 171
\issue 1
\pages 435--441
\crossref{https://doi.org/10.1007/s11232-012-0042-5}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000303876200002}
\elib{https://elibrary.ru/item.asp?id=17984503}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84860631623}
Linking options:
  • https://www.mathnet.ru/eng/tmf6920
  • https://doi.org/10.4213/tmf6920
  • https://www.mathnet.ru/eng/tmf/v171/i1/p18
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
    Statistics & downloads:
    Abstract page:595
    Full-text PDF :190
    References:91
    First page:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024