Douglis–Nirenberg elliptic systems in Hörmander spaces

Douglis–Nirenberg systems uniformly elliptic in ℝ n are studied in the class of Hörmander Hilbert spaces H φ ; 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 whi...

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Bibliographic Details
Published in:Ukrainian mathematical journal 2013-04, Vol.64 (11), p.1672-1687
Main Authors: Zinchenko, T. N., Murach, A. A.
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Statistics
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Summary:Douglis–Nirenberg systems uniformly elliptic in ℝ n are studied in the class of Hörmander Hilbert spaces H φ ; 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.
ISSN:0041-5995
1573-9376
DOI:10.1007/s11253-013-0743-4