Green’s matrices of second order elliptic systems with measurable coefficients in two dimensional domains
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- by Hongjie Dong and Seick Kim PDF
- Trans. Amer. Math. Soc. 361 (2009), 3303-3323 Request permission
Abstract:
We study Green’s matrices for divergence form, second order strongly elliptic systems with bounded measurable coefficients in two dimensional domains. We establish existence, uniqueness, and pointwise estimates of Green’s matrices.References
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Additional Information
- Hongjie Dong
- Affiliation: Division of Applied Mathematics, Brown University, 182 George Street, Providence, Rhode Island 02912
- MR Author ID: 761067
- ORCID: 0000-0003-2258-3537
- Email: hdong@brown.edu
- Seick Kim
- Affiliation: Department of Mathematics, Yonsei University, 262 Seongsanno, Seodaemun-gu, Seoul 120-749, Korea
- MR Author ID: 707903
- Email: kimseick@yonsei.ac.kr
- Received by editor(s): September 5, 2007
- Published electronically: January 28, 2009
- Additional Notes: The first author was partially supported by the National Science Foundation under agreement No. DMS-0111298 and a start-up funding from the Division of Applied Mathematics of Brown University.
The second author was supported by the Australian Research Council and by the New Faculty Research Grant No. 2008-1-0010 from Yonsei University. - © Copyright 2009
American Mathematical Society
The copyright for this article reverts to public domain 28 years after publication. - Journal: Trans. Amer. Math. Soc. 361 (2009), 3303-3323
- MSC (2000): Primary 35A08, 35B65; Secondary 35J45
- DOI: https://doi.org/10.1090/S0002-9947-09-04805-3
- MathSciNet review: 2485428