Vol 59, No 3 (2007)

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The interior Neumann problem for the Stokes resolvent system in a bounded domain in Rn

M. Kohr

Arch. Mech. 59 (3), 283-304, 2007

Keywords: Stokes resolvent system; Neumann problem; fundamental solution; potential theory; boundary integral representations


Abstract


The interior Neumann problem for the Stokes resolvent system is studied from the point of view of the potential theory. The existence and uniqueness results as well as boundary integral representations of the classical solution are given in the case of a bounded domain in Rn, having a compact but not connected boundary of class C1,α (0 < α ≤ 1).

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