Regular elliptic boundary-value problem for a homogeneous equation in a two-sided improved scale of spaces

被引：0

作者：

Mikhailets V.A. ^{[1
]}

Murach A.A. ^{[2
]}

机构：

[1] Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

[2] Chernigov Technological University, Chernigov

来源：

Ukrainian Mathematical Journal | 2006年 / 58卷 / 11期

关键词：

Hilbert Space; Functional Parameter; Homogeneous Equation; Fredholm Operator; Admissible Pair;

D O I：

10.1007/s11253-006-0166-6

中图分类号：

学科分类号：

摘要：

We study a regular elliptic boundary-value problem for a homogeneous differential equation in a bounded domain. We prove that the operator of this problem is a Fredholm (Noether) operator in a two-sided improved scale of functional Hilbert spaces. The elements of this scale are Hörmander- Volevich-Paneyakh isotropic spaces. We establish an a priori estimate for a solution and investigate its regularity. © Springer Science+Business Media, Inc. 2006.

引用

页码：1748 / 1767

页数：19

共 15 条

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