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Estimates for Green functions of Stokes systems in two dimensional domains
- Authors
- Choi, Jongkeun; Kim, Doyoon
- Issue Date
- 3월-2019
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Green function; Stokes system; Measurable coefficients
- Citation
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.471, no.1-2, pp.102 - 125
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
- Volume
- 471
- Number
- 1-2
- Start Page
- 102
- End Page
- 125
- ISSN
- 0022-247X
- 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. (C) 2018 Elsevier Inc. All rights reserved.
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