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The Dirichlet problems for the Stokes resolvent equations in bounded and exterior domains in ℝ n
Author(s) -
Kohr Mirela
Publication year - 2007
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.200410501
Subject(s) - resolvent , mathematics , bounded function , uniqueness , mathematical analysis , dirichlet problem , dirichlet distribution , boundary (topology) , dirichlet integral , dirichlet boundary condition , class (philosophy) , pure mathematics , boundary value problem , dirichlet's principle , artificial intelligence , computer science
The Dirichlet problems for the Stokes resolvent equations are studied from the point of view of the theory of hydrodynamic potentials. Existence and uniqueness results as well as boundary integral representations of classical solutions are given for domains having compact but not connected boundaries of class C 1,α (0 < α ≤ 1) in both the bounded and exterior cases. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)