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    • Graduate School - MU Theses and Dissertations (MU)
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    • 2008 Dissertations (MU)
    • 2008 MU dissertations - Freely available online
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    Boundary value problems for the Stokes system in arbitrary Lipschitz domains

    Wright, Matthew E., 1980-
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    [PDF] research.pdf (1.145Mb)
    Date
    2008
    Format
    Thesis
    Metadata
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    Abstract
    The goal of this work is to treat the main boundary value problems for the Stokes system, i.e., (i) the Dirichlet problem with Lp-data and nontangential maximal function estimates, (ii) the Neumann problem with Lp-data and nontangential maximal function estimates,(iii) the Regularity problem with Lp1-data and nontangential maximal function estimates,(iv) the transmission problem with Lp-data and nontangential maximal function estimates,(v) the Poisson problem with Dirichlet condition in Besov-Triebel-Lizorkin spaces, (vi) the Poisson problem with Neumann condition in Besov-Triebel-Lizorkin spaces, in Lipschitz domains of arbitrary topology in Rn, for each n [greater than or equal to] 2. Our approach relies on boundary integral methods and yields constructive solutions to the aforementioned problems.
    URI
    https://doi.org/10.32469/10355/5590
    https://hdl.handle.net/10355/5590
    Degree
    Ph. D.
    Thesis Department
    Mathematics (MU)
    Rights
    OpenAccess.
    This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License.
    Collections
    • 2008 MU dissertations - Freely available online
    • Mathematics electronic theses and dissertations (MU)

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