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Journal of Siberian Federal University. Mathematics & Physics, 2018, Volume 11, Issue 5, Pages 659–662
DOI: https://doi.org/10.17516/1997-1397-2018-11-5-659-662 (Mi jsfu711) 		 
This article is cited in 2 scientific papers (total in 2 papers)

On the Fredholm property for the steady Navier–Stokes equations in weighted Hölder spaces

Andrei A. Parfenov, Alexander A. Shlapunov

Institute of Mathematics and Computer Science, Siberian Federal University, Svobodny, 79, Krasnoyarsk, 660041, Russia
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DOI: https://doi.org/10.17516/1997-1397-2018-11-5-659-662
Abstract: We prove that the steady Navier–Stokes equations induce a Fredholm non-linear map on the scale of Hölder spaces weighted at the infinity.
Keywords: steady Navier–Stokes Equations, non-linear Fredholm operators, weighted Hölder spaces.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 1.2604.2017/PCh
The work was supported by the grant of the Ministry of Education and Science of the Russian Federation no. 1.2604.2017/PCh.
Received: 10.05.2018
Received in revised form: 10.06.2018
Accepted: 20.07.2018
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: English
Citation: Andrei A. Parfenov, Alexander A. Shlapunov, “On the Fredholm property for the steady Navier–Stokes equations in weighted Hölder spaces”, J. Sib. Fed. Univ. Math. Phys., 11:5 (2018), 659–662
Citation in format AMSBIB
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\by Andrei~A.~Parfenov, Alexander~A.~Shlapunov
\paper On the Fredholm property for the steady Navier--Stokes equations in weighted H\"older spaces
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2018
\vol 11
\issue 5
\pages 659--662
\mathnet{http://mi.mathnet.ru/jsfu711}
\crossref{https://doi.org/10.17516/1997-1397-2018-11-5-659-662}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000447374900015}
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    • This publication is cited in the following 2 articles:
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