Very weak, generalized and strong solutions to the Stokes system in the half-space |
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| Authors: | Ché rif Amrouche,&Scaron á rka Ne?asová ,Yves Raudin |
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| Affiliation: | a Laboratoire de Mathématiques Appliquées, CNRS UMR 5142, Université de Pau et des Pays de l'Adour, IPRA, Avenue de l'Université, 64000 Pau, France
b Mathematical Institute of the Academy of Sciences, ?itná 25, 115 67 Praha 1, Czech Republic |
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| Abstract: | In this paper, we study the Stokes system in the half-space  , with N?2. We give existence and uniqueness results in weighted Sobolev spaces. After the central case of the generalized solutions, we are interested in strong solutions and symmetrically in very weak solutions by means of a duality argument. |
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| Keywords: | 35J50 35J55 35Q30 76D07 76N10 |
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