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

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 1

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All Science Journal Classification (ASJC) codes

Analysis

Cite this

Chang, T., & Choe, H. J. (2009). Estimates of the green's functions for the elasto-static equations and stokes equations in a three dimensional lipschitz domain. Potential Analysis, 30(1), 85-99. https://doi.org/10.1007/s11118-008-9107-3

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10.1007/s11118-008-9107-3