Title Optimal Results For The Two Dimensional Navier-Stokes Equations With Lower Regularity On The Data
Authors Magnus Fontes, Saksman Eero
Alternative Location http://www.emis.de/journals..., Restricted Access
Publication Collection SMF. Séminaires et congrès
Year 2004
Volume 9
Pages 143 - 154
Document type Article
Status Published
Quality controlled Yes
Language eng
Publisher Société Mathématiques de France
Abstract English We establish existence and uniqueness of solutions in the anisotropic Sobolev space H^{1,1/2} to the two dimensional Navier-Stokes equations with source data in H^{-1,-1/2}. Our results give a new elementary proof for and extend some recent results by G. Grubb.
Keywords anisotropic Sobolev space, Navier Stokes, Hilbert transform, fractional calculus,
ISBN/ISSN/Other ISSN: 1285-2783
ISBN: 2-85629-160-0

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