We consider the steady Stokes and Oseen problems in bounded and exterior domains of Rn of class Ck−1,1 (n = 2,3; k ≥ 2). We prove existence and uniqueness of a very weak solution for boundary data a in W2−k−1/q,q(∂Ω). If Ω is of class C∞, we can assume a to be a distribution on ∂Ω.
On the Stokes and Oseen problems with singular data
TARTAGLIONE, Alfonsina
2014
Abstract
We consider the steady Stokes and Oseen problems in bounded and exterior domains of Rn of class Ck−1,1 (n = 2,3; k ≥ 2). We prove existence and uniqueness of a very weak solution for boundary data a in W2−k−1/q,q(∂Ω). If Ω is of class C∞, we can assume a to be a distribution on ∂Ω.File in questo prodotto:
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