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

Hongjie Dong; Seick Kim

doi:10.1090/S0002-9947-09-04805-3

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

Hongjie Dong^*, Seick Kim

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

44 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 language	English
Pages (from-to)	3303-3323
Number of pages	21
Journal	Transactions of the American Mathematical Society
Volume	361
Issue number	6
DOIs	https://doi.org/10.1090/S0002-9947-09-04805-3
Publication status	Published - Jun 2009
Externally published	Yes

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

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.",

keywords = "Fundamental matrix, Fundamental solution, Green function, Green's matrix, Measurable coefficients, Second order elliptic system",

author = "Hongjie Dong and Seick Kim",

year = "2009",

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doi = "10.1090/S0002-9947-09-04805-3",

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AU - Kim, Seick

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N2 - 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.

AB - 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.

KW - Fundamental matrix

KW - Fundamental solution

KW - Green function

KW - Green's matrix

KW - Measurable coefficients

KW - Second order elliptic system

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U2 - 10.1090/S0002-9947-09-04805-3

DO - 10.1090/S0002-9947-09-04805-3

M3 - Article

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VL - 361

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EP - 3323

JO - Transactions of the American Mathematical Society

JF - Transactions of the American Mathematical Society

IS - 6

ER -

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

Abstract

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