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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2006, Volume 255, Pages 136–145 (Mi tm258)  
This article is cited in 8 scientific papers (total in 8 papers)

Decompositions of the Sobolev Scale and Gradient–Divergence Scale into the Sum of Solenoidal and Potential Subspaces

Yu. A. Dubinskii

Moscow Power Engineering Institute (Technical University)
Full-text PDF (171 kB) Citations (8)
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Abstract: For the complete Sobolev scale and the gradient–divergence scale, decompositions into direct sums of solenoidal and potential subspaces are found. A smoothing property of solenoidal factorization is proved. Projectors onto the subspaces of solenoidal and potential functions are described.
Received in March 2006
English version:
Proceedings of the Steklov Institute of Mathematics, 2006, Volume 255, Pages 127–135
DOI: https://doi.org/10.1134/S0081543806040109
Bibliographic databases:
UDC: 517.53+517.91
Language: Russian
Citation: Yu. A. Dubinskii, “Decompositions of the Sobolev Scale and Gradient–Divergence Scale into the Sum of Solenoidal and Potential Subspaces”, Function spaces, approximation theory, and nonlinear analysis, Collected papers, Trudy Mat. Inst. Steklova, 255, Nauka, MAIK «Nauka/Inteperiodika», M., 2006, 136–145; Proc. Steklov Inst. Math., 255 (2006), 127–135
Citation in format AMSBIB
\Bibitem{Dub06}
\by Yu.~A.~Dubinskii
\paper Decompositions of the Sobolev Scale and Gradient--Divergence Scale into the Sum of Solenoidal and Potential Subspaces
\inbook Function spaces, approximation theory, and nonlinear analysis
\bookinfo Collected papers
\serial Trudy Mat. Inst. Steklova
\yr 2006
\vol 255
\pages 136--145
\publ Nauka, MAIK «Nauka/Inteperiodika»
\publaddr M.
\mathnet{http://mi.mathnet.ru/tm258}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=2301614}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2006
\vol 255
\pages 127--135
\crossref{https://doi.org/10.1134/S0081543806040109}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33846893408}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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