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The Pullback Equation for Differential Forms (Record no. 22720)

000 -LEADER
fixed length control field 04171nam a22004935i 4500
003 - CONTROL NUMBER IDENTIFIER
control field OSt
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20140310151443.0
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
978-0-8176-8313-9
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA370-380
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.353
Edition number 23
264 #1 -
-- Boston :
-- Birkhäuser Boston,
-- 2012.
912 ## -
-- ZDB-2-SMA
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Csató, Gyula.
Relator term author.
245 14 - IMMEDIATE SOURCE OF ACQUISITION NOTE
Title The Pullback Equation for Differential Forms
Medium [electronic resource] /
Statement of responsibility, etc by Gyula Csató, Bernard Dacorogna, Olivier Kneuss.
300 ## - PHYSICAL DESCRIPTION
Extent XI, 436p.
Other physical details online resource.
440 1# - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Progress in Nonlinear Differential Equations and Their Applications ;
Volume number/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 as entry element Mathematics.
Topical term or geographic name as entry element Matrix theory.
Topical term or geographic name as entry element Differential Equations.
Topical term or geographic name as entry element Differential equations, partial.
Topical term or geographic name as entry element Global differential geometry.
Topical term or geographic name as entry element Mathematics.
Topical term or geographic name as entry element Partial Differential Equations.
Topical term or geographic name as entry element Linear and Multilinear Algebras, Matrix Theory.
Topical term or geographic name as entry element Differential Geometry.
Topical term or geographic name as entry element Ordinary Differential Equations.
700 1# - ADDED ENTRY--PERSONAL NAME
Personal name Dacorogna, Bernard.
Relator term author.
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
Display text Printed edition:
International Standard Book Number 9780817683122
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier http://dx.doi.org/10.1007/978-0-8176-8313-9
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Item type E-Book
Copies
Price effective from Permanent location Date last seen Not for loan Date acquired Source of classification or shelving scheme Koha item type Damaged status Lost status Withdrawn status Current location Full call number
2014-04-09AUM Main Library2014-04-09 2014-04-09 E-Book   AUM Main Library515.353
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