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.

引用

页码：1672 / 1687

页数：15

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