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arXiv · 0704.1352

The Green function estimates for strongly elliptic systems of second order

Steve Hofmann·Seick Kim
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Abstract

We establish existence and pointwise estimates of fundamental solutions and Green's matrices for divergence form, second order strongly elliptic systems in a domain $Ω\subseteq \mathbb{R}^n$, $n \geq 3$, under the assumption that solutions of the system satisfy De Giorgi-Nash type local Hölder continuity estimates. In particular, our results apply to perturbations of diagonal systems, and thus especially to complex perturbations of a single real equation.

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Steve Hofmann, Seick Kim. 2007-08-25. The Green function estimates for strongly elliptic systems of second order. https://doi.org/10.1007/s00229-007-0107-1

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