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

DOI10.1007/s11118-008-9107-3zbMath1168.31004OpenAlexW1985078742MaRDI QIDQ1016099

Tong Keun Chang, Hi Jun Choe

Publication date: 4 May 2009

Published in: Potential Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/119195

zbMATH Keywords

Green functionsboundary value problemStokes equationelasto-static equationthree-dimensional bounded Lipschitz domain

Mathematics Subject Classification ID

Boundary behavior of harmonic functions in higher dimensions (31B25)

Related Items (5)

Global pointwise estimates for Green's matrix of second order elliptic systems ⋮ The Green function for the Stokes system with measurable coefficients ⋮ Layer potential analysis for a Dirichlet‐transmission problem in Lipschitz domains in ℝⁿ ⋮ \(L^q\)-solution of the Robin problem for the Stokes system with Coriolis force ⋮ Fundamental solutions for stationary Stokes systems with measurable coefficients

Cites Work

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• Boundary value problems for the systems of elastostatics in Lipschitz domains
• Boundary behavior of harmonic functions in non-tangentially accessible domains
• On regularity of stationary Stokes and Navier--Stokes equations near boundary
• The Dirichlet problem for the Stokes system on Lipschitz domains
• The inhomogeneous Dirichlet problem in Lipschitz domains
• A Note on the Dirichlet Problem for the Stokes System in Lipschitz Domains
• Estimates for the Stokes operator in Lipschitz domains

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