Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
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


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2006, Volume 80, Issue 4, Pages 582–595
DOI: https://doi.org/10.4213/mzm2851 (Mi mzm2851) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Unique solvability of pseudohyperbolic equations with singular right-hand sides

D. A. Nomirovskii

National Taras Shevchenko University of Kyiv
Full-text PDF (450 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2851
Abstract: In this paper, we consider the solvability of the Cauchy problem for pseudohyperbolic equations (partial differential equations of third order). For the case in which the right-hand side is a generalized function (distribution) of finite order, we establish a theorem on the unique solvability for a sufficiently general pseudohyperbolic operator. The method of proof is based on a specially constructed “scale” of a priori inequalities for the direct and adjoint operators.
Received: 18.02.2004
Revised: 13.12.2005
English version:
Mathematical Notes, 2006, Volume 80, Issue 4, Pages 550–562
DOI: https://doi.org/10.1007/s11006-006-0174-8
Bibliographic databases:
UDC: 517.956.6
Language: Russian
Citation: D. A. Nomirovskii, “Unique solvability of pseudohyperbolic equations with singular right-hand sides”, Mat. Zametki, 80:4 (2006), 582–595; Math. Notes, 80:4 (2006), 550–562
Citation in format AMSBIB
\Bibitem{Nom06}
\by D.~A.~Nomirovskii
\paper Unique solvability of pseudohyperbolic equations with singular right-hand sides
\jour Mat. Zametki
\yr 2006
\vol 80
\issue 4
\pages 582--595
\mathnet{http://mi.mathnet.ru/mzm2851}
\crossref{https://doi.org/10.4213/mzm2851}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2316160}
\zmath{https://zbmath.org/?q=an:1121.35087}
\elib{https://elibrary.ru/item.asp?id=9293164}
\transl
\jour Math. Notes
\yr 2006
\vol 80
\issue 4
\pages 550--562
\crossref{https://doi.org/10.1007/s11006-006-0174-8}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000241868700033}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33750351747}
Linking options:
  • https://www.mathnet.ru/eng/mzm2851
  • https://doi.org/10.4213/mzm2851
  • https://www.mathnet.ru/eng/mzm/v80/i4/p582
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:520
    Full-text PDF :224
    References:53
    First page:6
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024