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

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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.
18 pages

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Analysis of PDEs, 35A08, 35B65, 35J45

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http://salesiana.dossiersoluciones.com/handle/123456789/221697

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0708.3270
 http://arxiv.org/abs/0708.3270
 Trans. Amer. Math. Soc. 361 (2009), 3303-3323.
 doi:10.1090/S0002-9947-09-04805-3

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arXiv