Estimates for Green functions of Stokes systems in two dimensional domains

Jongkeun Choi; Doyoon Kim

doi:10.1016/j.jmaa.2018.10.067

Estimates for Green functions of Stokes systems in two dimensional domains

Jongkeun Choi, Doyoon Kim

Department of Mathematics

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

2 Citations (Scopus)

Abstract

We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L₁-mean oscillations of the coefficients.

Original language	English
Pages (from-to)	102-125
Number of pages	24
Journal	Journal of Mathematical Analysis and Applications
Volume	471
Issue number	1-2
DOIs	https://doi.org/10.1016/j.jmaa.2018.10.067
Publication status	Published - 2019 Mar

Bibliographical note

Funding Information:
J. Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1A6A3A03005168), D. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03934369).

Publisher Copyright:
© 2018 Elsevier Inc.

Keywords

Green function
Measurable coefficients
Stokes system

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2018.10.067

Cite this

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title = "Estimates for Green functions of Stokes systems in two dimensional domains",

abstract = "We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L1-mean oscillations of the coefficients.",

keywords = "Green function, Measurable coefficients, Stokes system",

author = "Jongkeun Choi and Doyoon Kim",

note = "Funding Information: J. Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1A6A3A03005168), D. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03934369). Publisher Copyright: {\textcopyright} 2018 Elsevier Inc.",

year = "2019",

month = mar,

doi = "10.1016/j.jmaa.2018.10.067",

language = "English",

volume = "471",

pages = "102--125",

journal = "Journal of Mathematical Analysis and Applications",

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T1 - Estimates for Green functions of Stokes systems in two dimensional domains

AU - Choi, Jongkeun

AU - Kim, Doyoon

N1 - Funding Information: J. Choi was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2017R1A6A3A03005168), D. Kim was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (2016R1D1A1B03934369). Publisher Copyright: © 2018 Elsevier Inc.

PY - 2019/3

Y1 - 2019/3

N2 - We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L1-mean oscillations of the coefficients.

AB - We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the L1-mean oscillations of the coefficients.

KW - Green function

KW - Measurable coefficients

KW - Stokes system

UR - http://www.scopus.com/inward/record.url?scp=85055747076&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2018.10.067

DO - 10.1016/j.jmaa.2018.10.067

M3 - Article

AN - SCOPUS:85055747076

SN - 0022-247X

VL - 471

SP - 102

EP - 125

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1-2

ER -

Estimates for Green functions of Stokes systems in two dimensional domains

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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