Carleson type estimates for second order elliptic equations with unbounded drift

被引：0
|
作者：
Kim H. [1 ]
Safonov M. [2 ]
机构：
[1] University of Michigan, Ann Arbor
[2] School of Mathematics, University of Minnesota, Minneapolis
来源：
Journal of Mathematical Sciences | 2011年 / 176卷 / 6期
关键词：
Harmonic Function; Lipschitz Domain; Harnack Inequality; Order Elliptic Equation; Positive Harmonic Function;
D O I：
10.1007/s10958-011-0444-1
中图分类号：
学科分类号：
摘要：
We derive a Carleson type estimate for positive solutions of non-divergence second order elliptic equations Lu = aijDiju + biDiu = 0 in a bounded domain Ω ⊂ Rn. We assume that bi ∈ Ln(Ω) and Ω is a twisted Hölder domain of order α ∈ (1/2, 1] which satisfies a weak regularity condition. We also provide an example which shows that the main result fails in general if α ∈ (0, 1/2]. Bibliography: 18 titles. © 2011 Springer Science+Business Media, Inc.
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页码：928 / 944
页数：16
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