ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS
1.
SYSNO ASEP
0338784
Document Type
J - Journal Article
R&D Document Type
Journal Article
Subsidiary J
Článek ve WOS
Title
ASYMPTOTICS FOR THE SOLUTIONS OF ELLIPTIC SYSTEMS WITH RAPIDLY OSCILLATING COEFFICIENTS
Author(s)
Borisov, Denis I. (UJF-V)
Source Title
St Petersburg Mathematical Journal
- ISSN 1061-0022
Roč. 20, č. 2 (2009), s. 175-191
Number of pages
17 s.
Language
eng - English
Country
US - United States
Keywords
Homogenization of differentiable operators ; unbounded domain ; fast and slow variables
Subject RIV
BG - Nuclear, Atomic and Molecular Physics, Colliders
R&D Projects
LC06002 GA MŠMT - Ministry of Education, Youth and Sports (MEYS)
CEZ
AV0Z10480505 - UJF-V (2005-2011)
UT WOS
000267497500002
Annotation
A singularly perturbed second order elliptic system in the entire space is treated. The coefficients of the systems oscillate rapidly and depend on both slow and fast variables. The homogenized operator is obtained and, in the uniform norm sense, the leading terms of the asymptotic expansion are constructed for the resolvent of the operator described by the system. The convergence of the spectrum is established, and examples are given.
