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

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10.1007/s11118-008-9107-3

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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.",

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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.

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

Abstract

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