TY - JOUR
T1 - The Green function estimates for strongly elliptic systems of second order
AU - Hofmann, Steve
AU - Kim, Seick
PY - 2007/10
Y1 - 2007/10
N2 - 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 ⊆ ℝn, 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.
AB - 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 ⊆ ℝn, 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.
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U2 - 10.1007/s00229-007-0107-1
DO - 10.1007/s00229-007-0107-1
M3 - Article
AN - SCOPUS:34548640154
SN - 0025-2611
VL - 124
SP - 139
EP - 172
JO - Manuscripta Mathematica
JF - Manuscripta Mathematica
IS - 2
ER -