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

Shen, Zhong Wei

doi:10.1090/S0002-9939-1995-1223521-9

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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 . In the case of $n \geq 4$ , we establish a weak estimate of solutions for certain range of p.

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