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Around the Research of Vladimir Maz'ya II

Volume 12 of the series International Mathematical Series pp 315-336

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

  • Jürgen RoßmannAffiliated withUniversity of Rostock, Institute of Mathematics Email author 

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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.