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Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2024 MCQ for Transactions of the American Mathematical Society is 1.48 .

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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