Estimates for Green functions of Stokes systems in two dimensional domains

Choi, Jongkeun; Kim, Doyoon

doi:10.1016/j.jmaa.2018.10.067

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Estimates for Green functions of Stokes systems in two dimensional domains

Choi, Jongkeun;
Kim, Doyoon

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5

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5

초록

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. (C) 2018 Elsevier Inc. All rights reserved.

키워드

Green function; Stokes system; Measurable coefficients; CONORMAL DERIVATIVE PROBLEMS; DIRICHLET PROBLEM; ELLIPTIC-SYSTEMS; MATRICES

제목: Estimates for Green functions of Stokes systems in two dimensional domains

저자: Choi, Jongkeun; Kim, Doyoon

DOI: 10.1016/j.jmaa.2018.10.067

발행일: 2019-03

유형: Article

저널명: Journal of Mathematical Analysis and Applications

권: 471

호: 1-2

페이지: 102 ~ 125