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Hölder Estimates for Green’s Matrix of the Stokes System in Convex Polyhedra

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Around the Research of Vladimir Maz'ya II

Part of the book series: International Mathematical Series ((IMAT,volume 12))

Abstract

The paper deals with Green’s matrix of the Dirichlet problem forthe Stokes system in a polyhedron. In particular, Höolder estimates for thederivatives of the elements of this matrix are obtained in the case where thepolyhedronis convex.

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Authors and Affiliations

  1. University of Rostock, Institute of Mathematics, D-18051, Rostock, Germany

    Jürgen Roßmann

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  1. Jürgen Roßmann
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Correspondence to Jürgen Roßmann .

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Editors and Affiliations

  1. Department of Mathematics, Imperial College, Queen's Gate 180, London, SW7 2AZ, United Kingdom

    Ari Laptev

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Roßmann, J. (2010). Hölder Estimates for Green’s Matrix of the Stokes System in Convex Polyhedra. In: Laptev, A. (eds) Around the Research of Vladimir Maz'ya II. International Mathematical Series, vol 12. Springer, New York, NY. https://doi.org/10.1007/978-1-4419-1343-2_15

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