A Note on the dirichlet problem for the stokes system in lipschitz domains

Zhongwei Shen

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

A Note on the dirichlet problem for the stokes system in lipschitz domains

Zhongwei Shen

Research output: Contribution to journal › Article › peer-review

74 Scopus citations

Abstract

AWe 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 ≥ 4, we establish a weak estimate of solutions for certain range of p.

Original language	English
Pages (from-to)	801-811
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	123
Issue number	3
DOIs	https://doi.org/10.1090/S0002-9939-1995-1223521-9
State	Published - Mar 1995

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1995-1223521-9

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title = "A Note on the dirichlet problem for the stokes system in lipschitz domains",

abstract = "AWe study the LP Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension n = 3. In the case of n ≥ 4, we establish a weak estimate of solutions for certain range of p.",

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year = "1995",

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T1 - A Note on the dirichlet problem for the stokes system in lipschitz domains

AU - Shen, Zhongwei

PY - 1995/3

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N2 - AWe study the LP Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension n = 3. In the case of n ≥ 4, we establish a weak estimate of solutions for certain range of p.

AB - AWe study the LP Dirichlet problem for the Stokes system in Lipschitz domains. Optimal estimates are obtained when the dimension n = 3. In the case of n ≥ 4, we establish a weak estimate of solutions for certain range of p.

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DO - 10.1090/S0002-9939-1995-1223521-9

M3 - Article

AN - SCOPUS:0001555468

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JO - Proceedings of the American Mathematical Society

JF - Proceedings of the American Mathematical Society

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ER -

A Note on the dirichlet problem for the stokes system in lipschitz domains

Abstract

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