Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain

Tongkeun Chang; Hi Jun Choe

doi:10.1007/s11118-008-9107-3

Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain

Tongkeun Chang, Hi Jun Choe

Department of Mathematics

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

5 Citations (Scopus)

Abstract

In this paper, we study a Green's functions G^E , G^S for an elasto-static equations and Stokes equations in a three-dimensional bounded Lipschitz domain Ω. We prove that there is a positive constant c∈>∈0 depending on the Lipschitz constant such that. Furthermore, we show that there is a positive constant η∈ ∈(0,1) depending on the Lipschitz constant such that.

Original language	English
Pages (from-to)	85-99
Number of pages	15
Journal	Potential Analysis
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s11118-008-9107-3
Publication status	Published - 2009 Jan

Bibliographical note

Funding Information:
The second author is partially supported by Korea Research Foundation Grant KRF C-00005.

All Science Journal Classification (ASJC) codes

Analysis

Access to Document

10.1007/s11118-008-9107-3

Cite this

@article{01e060901b8a4dc195326d1734fe24fd,

title = "Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain",

abstract = "In this paper, we study a Green's functions GE , GS for an elasto-static equations and Stokes equations in a three-dimensional bounded Lipschitz domain Ω. We prove that there is a positive constant c∈>∈0 depending on the Lipschitz constant such that. Furthermore, we show that there is a positive constant η∈ ∈(0,1) depending on the Lipschitz constant such that.",

author = "Tongkeun Chang and Choe, {Hi Jun}",

note = "Funding Information: The second author is partially supported by Korea Research Foundation Grant KRF C-00005.",

year = "2009",

month = jan,

doi = "10.1007/s11118-008-9107-3",

language = "English",

volume = "30",

pages = "85--99",

journal = "Potential Analysis",

issn = "0926-2601",

publisher = "Springer Netherlands",

number = "1",

}

TY - JOUR

T1 - Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain

AU - Chang, Tongkeun

AU - Choe, Hi Jun

N1 - Funding Information: The second author is partially supported by Korea Research Foundation Grant KRF C-00005.

PY - 2009/1

Y1 - 2009/1

N2 - In this paper, we study a Green's functions GE , GS for an elasto-static equations and Stokes equations in a three-dimensional bounded Lipschitz domain Ω. We prove that there is a positive constant c∈>∈0 depending on the Lipschitz constant such that. Furthermore, we show that there is a positive constant η∈ ∈(0,1) depending on the Lipschitz constant such that.

AB - In this paper, we study a Green's functions GE , GS for an elasto-static equations and Stokes equations in a three-dimensional bounded Lipschitz domain Ω. We prove that there is a positive constant c∈>∈0 depending on the Lipschitz constant such that. Furthermore, we show that there is a positive constant η∈ ∈(0,1) depending on the Lipschitz constant such that.

UR - http://www.scopus.com/inward/record.url?scp=57649149228&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=57649149228&partnerID=8YFLogxK

U2 - 10.1007/s11118-008-9107-3

DO - 10.1007/s11118-008-9107-3

M3 - Article

AN - SCOPUS:57649149228

VL - 30

SP - 85

EP - 99

JO - Potential Analysis

JF - Potential Analysis

SN - 0926-2601

IS - 1

ER -

Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain

Abstract

Bibliographical note

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this