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 the Green's matrices.

18 pages

References in corpus (3)

• The Green function estimates for strongly elliptic systems of second order
• On the Green's matrices of strongly parabolic systems of second order
• Gaussian estimates for fundamental solutions of second order parabolic systems with time-independent coefficients

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