Douglis–Nirenberg elliptic systems in Hörmander spaces

被引：0
|
作者：
T. N. Zinchenko
A. A. Murach
机构：
[1] Ukrainian National Academy of Sciences,Institute of Mathematics
来源：
Ukrainian Mathematical Journal | 2013年 / 64卷
关键词：
Hilbert Space; Sobolev Space; Elliptic System; Pseudodifferential Operator; Fredholm Property;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Douglis–Nirenberg systems uniformly elliptic in ℝn are studied in the class of Hörmander Hilbert spaces Hφ; where φ is an RO-varying function of scalar argument. An a priori estimate is established for the solutions, and their interior regularity is investigated. A sufficient condition under which these systems possess the Fredholm property is obtained.
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页码：1672 / 1687
页数：15
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