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Pré-Publication, Document De Travail Année : 2008

Very weak, generalized and strong solutions to the Stokes system in the half-space

Résumé

In this paper, we study the Stokes system in the half-space $\R^N_+$, with $N\geq 2$. 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 symmetricaly in very weak solutions by means of a duality argument.
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Dates et versions

hal-00206215 , version 1 (16-01-2008)

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  • HAL Id : hal-00206215 , version 1

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Chérif Amrouche, Sárka Necasová, Yves Raudin. Very weak, generalized and strong solutions to the Stokes system in the half-space. 2008. ⟨hal-00206215⟩
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