Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 5, Pages 6–10
DOI: https://doi.org/10.26907/0021-3446-2021-5-6-10 (Mi ivm9670) 		 
A priori estimation of solutions of a boundary problem for a pseudodifferential equation with degeneration

A. D. Baev, D. A. Chechin, S. A. Shabrov, N. I. Rabotinskaya, N. A. Babaitseva

Voronezh State University, 1 Universitetskaya sq., Voronezh, 394018 Russia
Full-text PDF (299 kB)
References:
PDF
HTML
DOI: https://doi.org/10.26907/0021-3446-2021-5-6-10
Abstract: In this paper, we obtain a coercive a priori estimation of solutions to the boundary value problem in a half-space for a degenerate psedodifferential equation. The left part of the equation is the sum of the pseudo-differential operator with degeneracy, constructed by a special integral transformation, and the differentiation operator. A priori estimation is obtained in special weight spaces of the type of S. L. Sobolev spaces, the norms in which are constructed using a special integral transformation.
Keywords: a priori estimation, degenerate equation, pseudo-differential operator with degeneration, S. L. Sobolev weight spaces.
Funding agency Grant number
Russian Science Foundation 19-11-00197
Received: 27.04.2020
Revised: 27.04.2020
Accepted: 30.03.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 5, Pages 1–3
DOI: https://doi.org/10.3103/S1066369X21050017
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. D. Baev, D. A. Chechin, S. A. Shabrov, N. I. Rabotinskaya, N. A. Babaitseva, “A priori estimation of solutions of a boundary problem for a pseudodifferential equation with degeneration”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 5, 6–10; Russian Math. (Iz. VUZ), 65:5 (2021), 1–3
Citation in format AMSBIB
\Bibitem{BaeCheSha21}
\by A.~D.~Baev, D.~A.~Chechin, S.~A.~Shabrov, N.~I.~Rabotinskaya, N.~A.~Babaitseva
\paper A priori estimation of solutions of a boundary problem for a pseudodifferential equation with degeneration
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 5
\pages 6--10
\mathnet{http://mi.mathnet.ru/ivm9670}
\crossref{https://doi.org/10.26907/0021-3446-2021-5-6-10}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 5
\pages 1--3
\crossref{https://doi.org/10.3103/S1066369X21050017}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000664557700001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85108835798}
Linking options:
  • https://www.mathnet.ru/eng/ivm9670
  • https://www.mathnet.ru/eng/ivm/y2021/i5/p6
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:144
    Full-text PDF :35
    References:29
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025