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, 2018, Volume 58, Number 9, Pages 1583–1596
DOI: https://doi.org/10.31857/S004446690002535-9 (Mi zvmmf10775) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mixed problem for a homogeneous wave equation with a nonzero initial velocity

A. P. Khromov

Saratov State University, Saratov, Russia
Full-text PDF Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.31857/S004446690002535-9
Abstract: A mixed problem for a homogeneous wave equation with fixed ends, a summable potential, and a nonzero initial velocity is studied. Using the resolvent approach and developing the Krylov method for accelerating the convergence of Fourier series, a classical solution is obtained by the Fourier method under minimal conditions on the smoothness of the initial data and a generalized solution in the case of the initial velocity represented by an arbitrary summable function is found.
Key words: Fourier method, formal solution, wave equation, resolvent.
Received: 18.05.2017
English version:
Computational Mathematics and Mathematical Physics, 2018, Volume 58, Issue 9, Pages 1531–1543
DOI: https://doi.org/10.1134/S0965542518090099
Bibliographic databases:
Document Type: Article
UDC: 519.633
Language: Russian
Citation: A. P. Khromov, “Mixed problem for a homogeneous wave equation with a nonzero initial velocity”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1583–1596; Comput. Math. Math. Phys., 58:9 (2018), 1531–1543
Citation in format AMSBIB
\Bibitem{Khr18}
\by A.~P.~Khromov
\paper Mixed problem for a homogeneous wave equation with a nonzero initial velocity
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2018
\vol 58
\issue 9
\pages 1583--1596
\mathnet{http://mi.mathnet.ru/zvmmf10775}
\crossref{https://doi.org/10.31857/S004446690002535-9}
\elib{https://elibrary.ru/item.asp?id=37023432}
\transl
\jour Comput. Math. Math. Phys.
\yr 2018
\vol 58
\issue 9
\pages 1531--1543
\crossref{https://doi.org/10.1134/S0965542518090099}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000447653000013}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85055134719}
Linking options:
  • https://www.mathnet.ru/eng/zvmmf10775
  • https://www.mathnet.ru/eng/zvmmf/v58/i9/p1583
    • 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
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025