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arxiv: 0708.3270 · v1 · submitted 2007-08-24 · 🧮 math.AP

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

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keywords greenmatricescoefficientsdimensionaldomainsellipticmeasurableorder
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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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