On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Yoshihiro Shibata; Senjo Shimizu

doi:10.1016/S0022-0396(03)00023-8

On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Yoshihiro Shibata, Senjo Shimizu^*

^*Corresponding author for this work

School of Fundamental Science and Engineering

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

26 Citations (Scopus)

Abstract

Obtained is the L_p estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝⁿ. It is the first step to consider the free boundary value problem.

Original language	English
Pages (from-to)	408-444
Number of pages	37
Journal	Journal of Differential Equations
Volume	191
Issue number	2
DOIs	https://doi.org/10.1016/S0022-0396(03)00023-8
Publication status	Published - 2003 Jul 1

Keywords

Bounded domain
Interface condition
L estimate
Resolvent problem
Stokes system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0022-0396(03)00023-8

Cite this

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title = "On a resolvent estimate of the interface problem for the Stokes system in a bounded domain",

abstract = "Obtained is the Lp estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝn. It is the first step to consider the free boundary value problem.",

keywords = "Bounded domain, Interface condition, L estimate, Resolvent problem, Stokes system",

author = "Yoshihiro Shibata and Senjo Shimizu",

year = "2003",

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doi = "10.1016/S0022-0396(03)00023-8",

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AU - Shibata, Yoshihiro

AU - Shimizu, Senjo

PY - 2003/7/1

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N2 - Obtained is the Lp estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝn. It is the first step to consider the free boundary value problem.

AB - Obtained is the Lp estimate of solutions to the resolvent problem for the Stokes system with interface condition in a bounded domain in ℝn. It is the first step to consider the free boundary value problem.

KW - Bounded domain

KW - Interface condition

KW - L estimate

KW - Resolvent problem

KW - Stokes system

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SN - 0022-0396

VL - 191

SP - 408

EP - 444

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 2

ER -

On a resolvent estimate of the interface problem for the Stokes system in a bounded domain

Abstract

Keywords

ASJC Scopus subject areas

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