The Stokes problem for Lipschitz domains

Hi Jun Choe; Hideo Kozono

doi:10.1512/iumj.2002.51.2257

The Stokes problem for Lipschitz domains

Hi Jun Choe^*, Hideo Kozono

^*この研究の対応する著者

研究成果: Article › 査読

7 被引用数 (Scopus)

抄録

We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

本文言語	English
ページ（範囲）	1235-1260
ページ数	26
ジャーナル	Indiana University Mathematics Journal
巻	51
号	5
DOI	https://doi.org/10.1512/iumj.2002.51.2257
出版ステータス	Published - 2002
外部発表	はい

ASJC Scopus subject areas

数学 (全般)

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10.1512/iumj.2002.51.2257

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title = "The Stokes problem for Lipschitz domains",

abstract = "We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.",

keywords = "Initial-Dirichlet problems, Layer potential, Lipschitz domain, Mixed normed spaces, Newmann problems, Stokes equations",

author = "Choe, {Hi Jun} and Hideo Kozono",

year = "2002",

doi = "10.1512/iumj.2002.51.2257",

language = "English",

volume = "51",

pages = "1235--1260",

journal = "Indiana University Mathematics Journal",

issn = "0022-2518",

publisher = "Indiana University",

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TY - JOUR

T1 - The Stokes problem for Lipschitz domains

AU - Choe, Hi Jun

AU - Kozono, Hideo

PY - 2002

Y1 - 2002

N2 - We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

AB - We consider initial boundary value problems for the Stokes equations in a Lipschitz domain. We show the existence of solutions in an enlarged mixed normed potential space on the boundary.

KW - Initial-Dirichlet problems

KW - Layer potential

KW - Lipschitz domain

KW - Mixed normed spaces

KW - Newmann problems

KW - Stokes equations

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U2 - 10.1512/iumj.2002.51.2257

DO - 10.1512/iumj.2002.51.2257

M3 - Article

AN - SCOPUS:0037003395

SN - 0022-2518

VL - 51

SP - 1235

EP - 1260

JO - Indiana University Mathematics Journal

JF - Indiana University Mathematics Journal

IS - 5

ER -

The Stokes problem for Lipschitz domains

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