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

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

2007-08-24

arxiv.org/abs/0708.3270v1

Trans. Amer. Math. Soc. 361 (2009), 3303-3323.

Mathematics

Analysis of PDEs

18 pages

Scientific paper

10.1090/S0002-9947-09-04805-3

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 the Green's
matrices.

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