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, 2011, Volume 90, Issue 5, Pages 659–664
DOI: https://doi.org/10.4213/mzm8758 (Mi mzm8758) 		 
Additivity of the Space of Densities of Simple-Layer Potentials with a Finite Dirichlet Integral and Integrability of Normal Derivatives of Harmonic $W_2^1$-Functions on Lipschitz Surfaces

V. I. Astakhov

Southern Research Center of the Russian Academy of Sciences
Full-text PDF (393 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm8758
Abstract: We prove that the normal derivatives of piecewise harmonic functions and the densities of surface simple-layer potentials with a finite Dirichlet integral belong to the Lebesgue space on Lipschitz surfaces.
Keywords: simple-layer potential, normal derivative, integrability, Lipschitz surface, harmonic function, Lebesgue measure, Dirichlet integral.
Received: 15.07.2009
English version:
Mathematical Notes, 2011, Volume 90, Issue 5, Pages 639–643
DOI: https://doi.org/10.1134/S0001434611110022
Bibliographic databases:
Document Type: Article
UDC: 517.956.224
Language: Russian
Citation: V. I. Astakhov, “Additivity of the Space of Densities of Simple-Layer Potentials with a Finite Dirichlet Integral and Integrability of Normal Derivatives of Harmonic $W_2^1$-Functions on Lipschitz Surfaces”, Mat. Zametki, 90:5 (2011), 659–664; Math. Notes, 90:5 (2011), 639–643
Citation in format AMSBIB
\Bibitem{Ast11}
\by V.~I.~Astakhov
\paper Additivity of the Space of Densities of Simple-Layer Potentials with a Finite Dirichlet Integral and Integrability of Normal Derivatives of Harmonic $W_2^1$-Functions on Lipschitz Surfaces
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 5
\pages 659--664
\mathnet{http://mi.mathnet.ru/mzm8758}
\crossref{https://doi.org/10.4213/mzm8758}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2962556}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 5
\pages 639--643
\crossref{https://doi.org/10.1134/S0001434611110022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298659000002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84855171834}
Linking options:
  • https://www.mathnet.ru/eng/mzm8758
  • https://doi.org/10.4213/mzm8758
  • https://www.mathnet.ru/eng/mzm/v90/i5/p659
    • 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:402
    Full-text PDF :207
    References:64
    First page:9
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024