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

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Authors

  • M. Kohr Faculty of Mathematics and Computer Science, Babeș-Bolyai University, Romania

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).

Keywords:

Stokes resolvent system, Neumann problem, fundamental solution, potential theory, boundary integral representations