Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Main Menu
-
Simple Search
.
Advanced Search
.
Journal Search
.
Refine Search Results
.
Preferences
.
Search Menu
Simple Search
.
Advanced Search
.
New Items Search
.
Journal Search
.
Refine Search Results
.
Bottom Menu
Help
Italian
.
English
.
German
.
New Item Menu
New Items Search
.
New Items List
.
Links
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Browse Journal List
Catalogue Display
Catalogue Display
Previous Title
.
Parametrized Measures and Variational Principles
.
Bookmark this Record
Catalogue Record 44375
.
.
Author info on Wikipedia
.
.
LibraryThing
.
.
Google Books
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 44375
.
Reviews
Catalogue Record 44375
.
British Library
Resolver for RSN-44375
Google Scholar
Resolver for RSN-44375
WorldCat
Resolver for RSN-44375
Catalogo Nazionale SBN
Resolver for RSN-44375
GoogleBooks
Resolver for RSN-44375
ICTP Library
Resolver for RSN-44375
.
Share Link
Jump to link
Catalogue Information
Field name
Details
Dewey Class
515
Title
Parametrized Measures and Variational Principles ([EBook]) / by Pablo Pedregal.
Author
Pedregal, Pablo , 1963-
Other name(s)
SpringerLink (Online service)
Publication
Basel : Birkhäuser , 1997.
Physical Details
XI, 212 pages : online resource.
Series
Progress in nonlinear differential equations and their applications
; 30
ISBN
9783034888868
Summary Note
Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same compactness properties that finite dimensional spaces do: basically, bounded sequences are weak relatively compact sets. Nonetheless, weak conver gence does not behave as one would desire with respect to nonlinear functionals and operations. This difficulty is what makes nonlinear analysis much harder than would normally be expected. Parametrized measures is a device to under stand weak convergence and its behavior with respect to nonlinear functionals. Under suitable hypotheses, it yields a way of representing through integrals weak limits of compositions with nonlinear functions. It is particularly helpful in comprehending oscillatory phenomena and in keeping track of how oscilla tions change when a nonlinear functional is applied. Weak convergence also plays a fundamental role in the modern treatment of the calculus of variations, again because uniform bounds in norm for se quences allow to have weak convergent subsequences. In order to achieve the existence of minimizers for a particular functional, the property of weak lower semicontinuity should be established first. This is the crucial and most delicate step in the so-called direct method of the calculus of variations. A fairly large amount of work has been devoted to determine under what assumptions we can have this lower semicontinuity with respect to weak topologies for nonlin ear functionals in the form of integrals. The conclusion of all this work is that some type of convexity, understood in a broader sense, is usually involved.:
Contents note
1. Introduction -- 2. Some Variational Problems -- 3. The Calculus of Variations under Convexity Assumptions -- 4. Nonconvexity and Relaxation -- 5. Phase Transitions and Microstructure -- 6. Parametrized Measures -- 7 Analysis of Parametrized Measures -- 8. Analysis of Gradient Parametrized Measures -- 9. Quasiconvexity and Rank-one Convexity -- 10. Analysis of Divergence-Free Parametrized Measures.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-3-0348-8886-8
Links to Related Works
Subject References:
Analysis
.
Analysis (Mathematics)
.
Applications of Mathematics
.
Applied mathematics
.
Appl.Mathematics/Computational Methods of Engineering
.
Engineering mathematics
.
Mathematical analysis
.
Mathematics
.
Authors:
Pedregal, Pablo 1963-
.
Pedregal, Pablo, 1963-
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Progress in nonlinear differential equations and their applications
.
Classification:
515
.
.
ISBD Display
Catalogue Record 44375
.
Tag Display
Catalogue Record 44375
.
Related Works
Catalogue Record 44375
.
Marc XML
Catalogue Record 44375
.
Add Title to Basket
Catalogue Record 44375
.
Catalogue Information 44375
Beginning of record
.
Catalogue Information 44375
Top of page
.
Download Title
Catalogue Record 44375
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
44375
1
44375
-
2
44375
-
3
44375
-
4
44375
-
5
44375
-
Quick Search
Search for