Removable Singularities of Solutions of Semi-Elliptic Equations

被引：0

作者：

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

机构：

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

来源：

DIFFERENTIAL EQUATIONS | 2009年 / 45卷 / 02期

关键词：

HARMONIC-FUNCTIONS; SETS;

D O I：

10.1134/S0012266109020074

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let P(D) be a quasihomogeneous semi- elliptic linear differential operator with constant coefficients in R(n). We prove a metric criterion for the removability of singular sets of solutions of the equation P(D)f = 0 in function classes defined by solutions of this equation with the use of local approximations in mean.

引用

页码：209 / 216

页数：8

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