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- W2145358889 abstract "In this paper we prove unique solvability of the generalized Stokes resolvent equations in an infinite layer Ω0 = ℝn –1 × (–1, 1), n ≥ 2, in Lq -Sobolev spaces, 1 < q < ∞, with slip boundary condition of on the “upper boundary” ∂Ω+0 = ℝn –1 × {1} and non-slip boundary condition on the “lower boundary” ∂Ω–0 = ℝn –1 × {–1}. The solution operator to the Stokes system will be expressed with the aid of the solution operators of the Laplace resolvent equation and a Mikhlin multiplier operator acting on the boundary. The present result is the first step to establish an Lq -theory for the free boundary value problem studied by Beale [9] and Sylvester [22] in L 2-spaces. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)" @default.
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- W2145358889 date "2006-03-01" @default.
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- W2145358889 title "Generalized Stokes resolvent equations in an infinite layer with mixed boundary conditions" @default.
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- W2145358889 doi "https://doi.org/10.1002/mana.200310365" @default.
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