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The Resource The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss

The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss

Label
The pullback equation for differential forms
Title
The pullback equation for differential forms
Statement of responsibility
Gyula Csató, Bernard Dacorogna, Olivier Kneuss
Creator
Contributor
Subject
Language
eng
Summary
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? so that it satisfies the pullback equation:?*(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 d"k d"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 1d"k d"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
Member of
Cataloging source
GW5XE
http://library.link/vocab/creatorName
Csató, Gyula
Dewey number
515/.37
Index
index present
LC call number
QA381
LC item number
.C73 2012
Literary form
non fiction
Nature of contents
  • dictionaries
  • bibliography
http://library.link/vocab/relatedWorkOrContributorDate
1953-
http://library.link/vocab/relatedWorkOrContributorName
  • Dacorogna, Bernard
  • Kneuss, Olivier
Series statement
Progress in nonlinear differential equations and their applications
Series volume
v. 83
http://library.link/vocab/subjectName
  • Differential forms
  • Differential equations, Nonlinear
  • Mathematical Concepts
  • Mathematics
  • MATHEMATICS
  • MATHEMATICS
  • MATHEMATICS
  • Differential equations, Nonlinear
  • Differential forms
Label
The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss
Instantiates
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 425-428) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
pt. 1. Exterior and differential forms -- pt. 2. Hodge-morrey decomposition and poincaré lemma -- pt. 3. The case k = n -- pt. 4. The Case 0 [greater than or equal to] k [greater than or equal to] n -1 -- pt. 5. Hölder spaces -- pt. 6. Appendix
Control code
761868674
Dimensions
unknown
Extent
1 online resource (xi, 436 pages).
File format
unknown
Form of item
online
Isbn
9780817683139
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8313-9
Publisher number
Best.-Nr.: 80044287
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)761868674
Label
The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss
Publication
Antecedent source
unknown
Bibliography note
Includes bibliographical references (pages 425-428) and index
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
multicolored
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
Contents
pt. 1. Exterior and differential forms -- pt. 2. Hodge-morrey decomposition and poincaré lemma -- pt. 3. The case k = n -- pt. 4. The Case 0 [greater than or equal to] k [greater than or equal to] n -1 -- pt. 5. Hölder spaces -- pt. 6. Appendix
Control code
761868674
Dimensions
unknown
Extent
1 online resource (xi, 436 pages).
File format
unknown
Form of item
online
Isbn
9780817683139
Level of compression
unknown
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Other control number
10.1007/978-0-8176-8313-9
Publisher number
Best.-Nr.: 80044287
Quality assurance targets
not applicable
Reformatting quality
unknown
Sound
unknown sound
Specific material designation
remote
System control number
(OCoLC)761868674

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