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
Resource Information
The item The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.This item is available to borrow from 1 library branch.
Resource Information
The item The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Missouri Libraries.
This item is available to borrow from 1 library branch.
 Summary
 An important question in geometry and analysis is to know when two kforms 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"n1. 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 HodgeMorrey 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"n1 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 selfcontained 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
 Language
 eng
 Extent
 1 online resource (xi, 436 pages).
 Contents

 pt. 1. Exterior and differential forms
 pt. 2. Hodgemorrey 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
 Isbn
 9780817683139
 Label
 The pullback equation for differential forms
 Title
 The pullback equation for differential forms
 Statement of responsibility
 Gyula Csató, Bernard Dacorogna, Olivier Kneuss
 Subject

 Differential Geometry
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, partial
 Differential forms
 Differential forms
 Differential forms
 Global differential geometry
 Linear and Multilinear Algebras, Matrix Theory
 MATHEMATICS  Calculus
 MATHEMATICS  Differential Equations  General
 MATHEMATICS  Mathematical Analysis
 Mathematical Concepts
 Mathematics
 Matrix theory
 Ordinary Differential Equations
 Partial Differential Equations
 Differential Equations
 Language
 eng
 Summary
 An important question in geometry and analysis is to know when two kforms 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"n1. 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 HodgeMorrey 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"n1 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 selfcontained 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
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 425428) 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. Hodgemorrey 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
 10.1007/9780817683139
 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
 Antecedent source
 unknown
 Bibliography note
 Includes bibliographical references (pages 425428) 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. Hodgemorrey 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
 10.1007/9780817683139
 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
Subject
 Differential Geometry
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, Nonlinear  Numerical solutions
 Differential equations, partial
 Differential forms
 Differential forms
 Differential forms
 Global differential geometry
 Linear and Multilinear Algebras, Matrix Theory
 MATHEMATICS  Calculus
 MATHEMATICS  Differential Equations  General
 MATHEMATICS  Mathematical Analysis
 Mathematical Concepts
 Mathematics
 Matrix theory
 Ordinary Differential Equations
 Partial Differential Equations
 Differential Equations
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Thepullbackequationfordifferentialforms/kyt48J7yXLg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Thepullbackequationfordifferentialforms/kyt48J7yXLg/">The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.library.missouri.edu/portal/Thepullbackequationfordifferentialforms/kyt48J7yXLg/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.library.missouri.edu/portal/Thepullbackequationfordifferentialforms/kyt48J7yXLg/">The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.library.missouri.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.library.missouri.edu/">University of Missouri Libraries</a></span></span></span></span></div>