Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki
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


Zh. Vychisl. Mat. Mat. Fiz.:
Year:
Volume:
Issue:
Page:
Find




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

Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 4, Pages 616–624
DOI: https://doi.org/10.31857/S0044466922040111 (Mi zvmmf11385) 		 
Partial Differential Equations

On a boundary problem for a fourth-order elliptic equation on a plane

A. P. Soldatovabc

a Federal Research Center "Computer Science and Control" of Russian Academy of Sciences, Moscow
b Moscow Center for Fundamental and Applied Mathematics
c National Research University "Moscow Power Engineering Institute"
DOI: https://doi.org/10.31857/S0044466922040111
Abstract: The paper consideres a boundary value problem for a fourth-order elliptic equation with constant real coefficients in a multiply connected domain, in which the function and its normal third-order derivative on the boundary of this domain are specified. A convenient Fredholmity criterion is given, and a formula for the index of this problem is presented. Classes of equations for which the Fredholmity criterion is especially simple are indicated, and the exact values of the index are calculated.
Key words: elliptic equations, normal derivatives, Fredholmity condition, formula for index.
Received: 12.07.2021
Revised: 12.07.2021
Accepted: 16.12.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 4, Pages 599–607
DOI: https://doi.org/10.1134/S096554252204011X
Bibliographic databases:
Document Type: Article
UDC: 517.958
Language: Russian
Citation: A. P. Soldatov, “On a boundary problem for a fourth-order elliptic equation on a plane”, Zh. Vychisl. Mat. Mat. Fiz., 62:4 (2022), 616–624; Comput. Math. Math. Phys., 62:4 (2022), 599–607
Citation in format AMSBIB
\Bibitem{Sol22}
\by A.~P.~Soldatov
\paper On a boundary problem for a fourth-order elliptic equation on a plane
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2022
\vol 62
\issue 4
\pages 616--624
\mathnet{http://mi.mathnet.ru/zvmmf11385}
\crossref{https://doi.org/10.31857/S0044466922040111}
\elib{https://elibrary.ru/item.asp?id=48340797}
\transl
\jour Comput. Math. Math. Phys.
\yr 2022
\vol 62
\issue 4
\pages 599--607
\crossref{https://doi.org/10.1134/S096554252204011X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130810056}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf11385
  • https://www.mathnet.ru/eng/zvmmf/v62/i4/p616
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
    Statistics & downloads:
    Abstract page:133
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024