On interior regularity of solutions of a class of almost-hypoelliptic equations

被引：0

作者：

Ghazaryan, H. G. ^{[1
]}

Margaryan, V. N. ^{[1
]}

机构：

[1] Russian Armenian Slav Univ, 0051 Hovsep Emin 123 Str, Yerevan, Armenia

来源：

ARMENIAN JOURNAL OF MATHEMATICS | 2010年 / 3卷 / 02期

关键词：

hypoelliptic in respect to a group of variables operator; almost-hypoelliptic operator; weighted Sobolev spaces;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper it is proved that all distributional solutions of the non- degenerate, almost hypoelliptic (hypoelliptic by the one of variables) equation P(D)u = P(D-1; D-2)u = 0 are infinitely differentiable in the certain strip in E-2 under a priori assumption that they and its certain derivatives are square integrable with a certain exponential weight.

引用

页码：32 / 60

页数：29

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