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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the Dirichlet problem for the Stokes system in Lipschitz domains


Author: Zhong Wei Shen
Journal: Proc. Amer. Math. Soc. 123 (1995), 801-811
MSC: Primary 35Q30; Secondary 76D07
MathSciNet review: 1223521
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Abstract: We study the $ {L^p}$ Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension $ n = 3$. In the case of $ n \geq 4$, we establish a weak estimate of solutions for certain range of p.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1995-1223521-9
PII: S 0002-9939(1995)1223521-9
Article copyright: © Copyright 1995 American Mathematical Society