The Pullback Equation for Differential Forms (Record no. 59882)

MARC details
000 -LEADER
fixed length control field 04338nam a22005175i 4500
001 - CONTROL NUMBER
control field 978-0-8176-8313-9
003 - CONTROL NUMBER IDENTIFIER
control field DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20251006084441.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 111111s2012 xxu| s |||| 0|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780817683139
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 99780817683139
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code 10.1007/978-0-8176-8313-9
Source of number or code doi
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition information 23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Csató, Gyula.
Relator term author.
245 14 - TITLE STATEMENT
Title The Pullback Equation for Differential Forms
Medium [electronic resource] /
Statement of responsibility, etc. by Gyula Csató, Bernard Dacorogna, Olivier Kneuss.
264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Boston :
Name of producer, publisher, distributor, manufacturer Birkhäuser Boston,
Date of production, publication, distribution, manufacture, or copyright notice 2012.
300 ## - PHYSICAL DESCRIPTION
Extent XI, 436p.
Other physical details online resource.
336 ## - CONTENT TYPE
Content type term text
Content type code txt
Source rdacontent
337 ## - MEDIA TYPE
Media type term computer
Media type code c
Source rdamedia
338 ## - CARRIER TYPE
Carrier type term online resource
Carrier type code cr
Source rdacarrier
347 ## - DIGITAL FILE CHARACTERISTICS
File type text file
Encoding format PDF
Source rda
490 1# - SERIES STATEMENT
Series statement Progress in Nonlinear Differential Equations and Their Applications ;
Volume/sequential designation 83
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note Introduction -- Part I Exterior and Differential Forms -- Exterior Forms and the Notion of Divisibility -- Differential Forms -- Dimension Reduction -- Part II Hodge-Morrey Decomposition and Poincaré Lemma -- An Identity Involving Exterior Derivatives and Gaffney Inequality -- The Hodge-Morrey Decomposition -- First-Order Elliptic Systems of Cauchy-Riemann Type -- Poincaré Lemma -- The Equation div u = f -- Part III The Case k = n -- The Case f × g > 0 -- The Case Without  Sign Hypothesis on f -- Part IV The Case 0 ≤ k ≤ n-1 -- General Considerations on the Flow Method -- The Cases k = 0 and k = 1 -- The Case k = 2 -- The Case 3 ≤ k ≤ n-1 -- Part V Hölder Spaces -- Hölder Continuous Functions -- Part VI Appendix -- Necessary Conditions -- An Abstract Fixed Point Theorem -- Degree Theory -- References -- Further Reading -- Notations -- Index. .
520 ## - SUMMARY, ETC.
Summary, etc. An important question in geometry and analysis is to know when two k-forms f and g are equivalent through a change of variables. The problem is therefore to find a map φ so that it satisfies the pullback equation: φ*(g) = f.  In more physical terms, the question under consideration can be seen as a problem of mass transportation. The problem has received considerable attention in the cases k = 2 and k = n, but much less when 3 ≤ k ≤ n-1. The present monograph provides the first comprehensive study of the equation. The work begins by recounting various properties of exterior forms and differential forms that prove useful throughout the book. From there it goes on to present the classical Hodge-Morrey decomposition and to give several versions of the Poincaré lemma. The core of the book discusses the case k = n, and then the case 1≤ k ≤ n-1 with special attention on the case k = 2, which is fundamental in symplectic geometry. Special emphasis is given to optimal regularity, global results and boundary data. The last part of the work discusses Hölder spaces in detail; all the results presented here are essentially classical, but cannot be found in a single book. This section may serve as a reference on Hölder spaces and therefore will be useful to mathematicians well beyond those who are only interested in the pullback equation. The Pullback Equation for Differential Forms is a self-contained and concise monograph intended for both geometers and analysts. The book may serve as a valuable reference for researchers or a supplemental text for graduate courses or seminars.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATRIX THEORY.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DIFFERENTIAL EQUATIONS.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DIFFERENTIAL EQUATIONS, PARTIAL.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element GLOBAL DIFFERENTIAL GEOMETRY.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MATHEMATICS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element PARTIAL DIFFERENTIAL EQUATIONS.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element LINEAR AND MULTILINEAR ALGEBRAS, MATRIX THEORY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element DIFFERENTIAL GEOMETRY.
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element ORDINARY DIFFERENTIAL EQUATIONS.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Dacorogna, Bernard.
Relator term author.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Kneuss, Olivier.
Relator term author.
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Relationship information Printed edition:
International Standard Book Number 9780817683122
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title Progress in Nonlinear Differential Equations and Their Applications ;
Volume/sequential designation 83
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://dx.doi.org/10.1007/978-0-8176-8313-9">http://dx.doi.org/10.1007/978-0-8176-8313-9</a>
Public note Ver el texto completo en las instalaciones del CICY
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-- ZDB-2-SMA
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Koha item type Libros electrónicos
Holdings
Lost status Source of classification or shelving scheme Damaged status Not for loan Collection Home library Current library Shelving location Date acquired Total checkouts Full call number Date last seen Price effective from Koha item type
  Dewey Decimal Classification     Libro electrónico CICY CICY Libro electrónico 06.10.2025   515.353 06.10.2025 06.10.2025 Libros electrónicos