This article is cited 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

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.

UDC: 517.9

Received: 10.05.2018
Received in revised form: 10.06.2018
Accepted: 20.07.2018

Language: English

DOI: 10.17516/1997-1397-2018-11-5-659-662

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