On integral representations of correct restrictions and regular extensions of differential operators

被引：17

作者：

Kal'menov, T. Sh. ^{[1
]}

Kanguzhin, B. E. ^{[1
]}

Koshanov, B. D. ^{[1
]}

机构：

[1] Minist Educ & Sci Kazakhstan, Inst Math Comp Sci & Mech, Alma Ata 050010, Kazakhstan

来源：

DOKLADY MATHEMATICS | 2010年 / 81卷 / 01期

关键词：

Differential Operator; Integral Representation; Fundamental Solution; Maximal Operator; DOKLADY Mathematic;

D O I：

10.1134/S1064562410010266

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

A study was conducted to demonstrate integral representations of correct restrictions and regular extensions of differential operators. Integral representations were obtained for the elements of the correct restriction and the regular extension by using fundamental solutions. The existence of fundamental solutions for all equations with constant coefficients was proved by Hörmander equation. Fundamental solutions for the model equations of mathematical physics were also given in Vladimirov's monograph.

引用

页码：94 / 96

页数：3