Keywords:
Function spaces
;
Global analysis (Mathematics)
;
Manifolds (Mathematics)
;
Singular perturbations (Mathematics)
;
Global analysis (Mathematics)
;
Manifolds (Mathematics)
;
Singular perturbations (Mathematics)
;
Function spaces
;
MATHEMATICS ; Differential Equations ; Ordinary
;
Function spaces
;
Global analysis (Mathematics)
;
Manifolds (Mathematics)
;
Singular perturbations (Mathematics)
;
Electronic books
;
Electronic books
;
Mannigfaltigkeit
;
Singuläre Störung
Description / Table of Contents:
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
Type of Medium:
Online Resource
Pages:
Online Ressource (xxiv, 555 pages)
Edition:
Online-Ausg. 2009 Elsevier e-book collection on ScienceDirect Electronic reproduction; Mode of access: World Wide Web
ISBN:
9780444881342
,
0444881344
,
9780080875446
,
0080875440
Series Statement:
Studies in mathematics and its applications v. 23
URL:
http://www.sciencedirect.com/science/book/9780444881342
URL:
http://www.sciencedirect.com/science/bookseries/01682024/23
URL:
https://www.sciencedirect.com/science/bookseries/01682024/23
URL:
https://zbmath.org/?q=an:0728.35005
URL:
https://external.dandelon.com/download/attachments/dandelon/ids/DE0045EEEF8147E19664CC12579A2002988A0.pdf
Language:
English
Note:
Includes bibliographical references (pages 533-555). - Print version record
,
1. Spaces and singular perturbations on manifolds without boundary. 1990.
,
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
,
Electronic reproduction; Mode of access: World Wide Web
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