Estimates for Green functions of Stokes systems in two dimensional domains

Abstract

We prove the existence and pointwise bounds of the Green functions for stationary Stokes systems with measurable coefficients in two dimensional domains. We also establish pointwise bounds of the derivatives of the Green functions under a regularity assumption on the $L_1$-mean oscillations of the coefficients.

arXiv commentminor revision; accepted in Journal of Mathematical Analysis and Applications

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Cited by in corpus (2)

• Green functions for pressure of Stokes systems
• Boundary-Domain Integral Equations for the Mixed Problem for the Diffusion Equation in Inhomogeneous Media based on a New Family of Parametrices on Unbounded Domains