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.
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页码：209 / 216
页数：8
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