Journal of Mathematical Sciences

, Volume 170, Issue 1, pp 1–19 | Cite as

L p solvability of the stationary stokes problem in domains with conical singularity in any dimension

  • M. Dindoš
  • V. Maz’ya

We consider the Dirichlet boundary value problem for the Stokes operator with L p data in any dimension in domains with conical singularity (not necessarily a Lipschitz graph). We establish the solvability of the problem for all p ∈ (2 − ε, ∞] and also in C(D) for the data in \( C\left( {\overline D } \right) \). Bibliography: 14 titles. In memory of Michael Sh. Birman


Green Function Dirichlet Problem Dirichlet Boundary Lipschitz Domain Elliptic Boundary 
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Copyright information

© Springer Science+Business Media, Inc. 2010

Authors and Affiliations

  1. 1.The University of Edinburgh and Maxwell Institute of Mathematical Sciences JCMBEdinburghScotland
  2. 2.University of LiverpoolLiverpoolUK
  3. 3.Linköping UniversityLinköpingSweden

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