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.

引用

页码：928 / 944

页数：16

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