The Green function estimates for strongly elliptic systems of second order
Steve Hofmann, Seick Kim · 2007
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 ⊆ R n, n ≥ 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. 1.