On the regular solutions for some classes of Navier-Stokes equations
Y. Ebihara, L.A. Medeiros (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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Y. Ebihara, L.A. Medeiros (1988)
Annales de la Faculté des sciences de Toulouse : Mathématiques
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F. Planchon (1996)
Annales de l'I.H.P. Analyse non linéaire
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K. Pileckas (1997)
Rendiconti del Seminario Matematico della Università di Padova
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Hideo Kozono, Hermann Sohr (1999)
Annales de l'I.H.P. Analyse non linéaire
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Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Aleksander Janicki (1978)
Banach Center Publications
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Dragos Iftimie (1999)
Revista Matemática Iberoamericana
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In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are H in the i-th direction, δ + δ + δ = 1/2, -1/2 < δ < 1/2 and in a space which is L in the first two directions and B in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.