Boundary Harnack principle for second order elliptic equations with unbounded drift
Boundary Harnack principle for second order elliptic equations with unbounded drift
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具有无界漂移的二阶椭圆方程的边界 Harnack 原理
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发表时间：
2011
期刊：
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通讯作者：
M. Safonov
中科院分区：
文献类型：
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作者：
H. Kim;M. Safonov
本文证明了无散度二阶椭圆型方程Lu = aijDiju + bidiu = 0在有界域Ω ⊂ ${mathbb R}$n中解u/v之比的边界Harnack原理.我们假设bi∈Ln(Ω)和Ω是α∈(1/2，1]阶的扭曲Hölder域.在此基础上，我们得到了一致区域上u/v的Hölder正则性。参考书目：27种。
We prove the boundary Harnack principle for ratios of solutions u/v of non-divergence second order elliptic equations Lu = aijDiju + biDiu = 0 in a bounded domain Ω ⊂ $ {mathbb R} $n. We assume that bi ∈ Ln(Ω) and Ω is a twisted Hölder domain of order α ∈ (1/2, 1]. Based on this result, we derive the Hölder regularity of u/v for uniform domains. Bibliography: 27 titles.