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Sibirskii Matematicheskii Zhurnal, 2004, Volume 45, Number 1, Pages 103–118 (Mi smj1050)  
This article is cited in 3 scientific papers (total in 3 papers)

On one class of matrix differential operators

G. V. Demidenko

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
Full-text PDF (238 kB) Citations (3)
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Abstract: We consider one class of matrix differential operators in the whole space. For this class of operators we establish the isomorphic properties in some special scales of weighted Sobolev spaces and study the regularity properties for solutions to the system of differential equations defined by these operators. The class of operators under consideration contains the stationary Navier–Stokes operator.
Keywords: matrix differential operator, weighted Sobolev space, isomorphism, solution regularity, Navier–Stokes operator.
Received: 25.02.2003
English version:
Siberian Mathematical Journal, 2004, Volume 45, Issue 1, Pages 86–99
DOI: https://doi.org/10.1023/B:SIMJ.0000013014.89566.3c
Bibliographic databases:
UDC: 517.953, 517.983
Language: Russian
Citation: G. V. Demidenko, “On one class of matrix differential operators”, Sibirsk. Mat. Zh., 45:1 (2004), 103–118; Siberian Math. J., 45:1 (2004), 86–99
Citation in format AMSBIB
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\jour Siberian Math. J.
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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