Removable singularities of solutions of linear uniformly elliptic second order equations

被引：1

作者：

Pokrovskii, A. V. ^{[1
]}

机构：

[1] Natl Acad Sci Ukraine, Inst Math, Kiev, Ukraine

来源：

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS | 2008年 / 42卷 / 02期

关键词：

removable singularity; elliptic operator; generalized solution; Green function; Hausdorff measure;

D O I：

10.1007/s10688-008-0017-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let L be a uniformly elliptic linear second order differential operator in divergence form with bounded measurable real coefficients in a bounded domain G subset of R(n) (n >= 2). We define classes of continuous functions in G that contain generalized solutions of the equation Lf = 0 and have the property that the compact sets removable for such solutions in these classes can be completely described in terms of Hausdorff measures.

引用

页码：116 / 125

页数：10

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