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Boundary Value Problem of the Nonstationary Stokes System in the Half Space

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Abstract

In this paper, we study the boundary value problem of the nonstationary Stokes system in \({\mathbb R}^{n}_+\times (0,T)\). We generalize the result of (Hofmann and Nystrom Methods Appl. Anal. 9(1), 12–98, 2002; Koch and Solonnikov J. Math. Sci. 106, 3042–3072, 2001; Shen Am. J. Math. 113(2), 293–373, 1991) to a general anisotropic Besov space.

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Authors and Affiliations

  1. Department of Mathematics, Yonsei University, Seoul, 136-701, South Korea

    Tongkeun Chang

  2. Department of Mathematics, Mokpo National University, Muan-gun, 534-729, South Korea

    Bum Ja Jin

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  1. Tongkeun Chang
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  2. Bum Ja Jin
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Correspondence to Tongkeun Chang.

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Chang, T., Jin, B.J. Boundary Value Problem of the Nonstationary Stokes System in the Half Space. Potential Anal 41, 737–760 (2014). https://doi.org/10.1007/s11118-014-9391-z

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  • DOI: https://doi.org/10.1007/s11118-014-9391-z

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