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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
Article

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

Keywords

Green Function Dirichlet Problem Dirichlet Boundary Lipschitz Domain Elliptic Boundary 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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