ENGLISH

Singular perturbations I: Spaces and singular perturbations on manifolds without boundary

By L.S. Frank

Book information

Publisher
North Holland
Year
1990
ISBN
0444881344, 9780444881342, 9780080875446
ISSN
0168-2024
LCC
QA372 .F8 1990
Open Library ID
OL1855739M
Language
english
Format
DJVU
Filesize
3 MB (3514967 bytes)
Series
Studies in Mathematics and its Applications
Pages
579\579
Library
Kolxo3
DPI
300
Time added
2009-12-04 00:34:26

Description

Singular perturbations, one of the central topics in asymptotic analysis, also play a special role in describing physical phenomena such as the propagation of waves in media in the presence of small energy dissipations or dispersions, the appearance of boundary or interior layers in fluid and gas dynamics, as well as in elasticity theory, semi-classical asymptotic approximations in quantum mechanics etc. Elliptic and coercive singular perturbations are of special interest for the asymptotic solution of problems which are characterized by boundary layer phenomena, e.g. the theory of thin buckling plates, elastic rods and beams. This first volume deals with linear singular perturbations (on smooth manifolds without boundary) considered as equicontinuous linear mappings between corresponding families of Sobolev-Slobodetski's type spaces of vectorial order.

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