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

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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.

Original languageEnglish
Pages (from-to)85-99
Number of pages15
JournalPotential Analysis
Volume30
Issue number1
DOIs
Publication statusPublished - 2009 Jan 1

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All Science Journal Classification (ASJC) codes

  • Analysis

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