Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains

Hongjie Dong, Seick Kim

Research output: Contribution to journalArticle

26 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)3303-3323
Number of pages21
JournalTransactions of the American Mathematical Society
Volume361
Issue number6
DOIs
Publication statusPublished - 2009 Jun 1

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Green's Matrix
Second-order Systems
Elliptic Systems
Pointwise Estimates
Coefficient
Divergence
Existence and Uniqueness
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

Cite this

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Green's matrices of second order elliptic systems with measurable coefficients in two dimensional domains. / Dong, Hongjie; Kim, Seick.

In: Transactions of the American Mathematical Society, Vol. 361, No. 6, 01.06.2009, p. 3303-3323.

Research output: Contribution to journalArticle

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