The pullback equation for differential forms
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 pro...
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| Auteurs principaux: | , , |
|---|---|
| 格式: | Livre numérique |
| 語言: | Anglais |
| 出版: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| 版: | 1st ed. 2012. |
| 叢編: | Progress in Nonlinear Differential Equations and Their Applications
83 |
| 主題: | |
| 在線閱讀: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| 提示: |
Description d'après consultation du 5 mars 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • The pullback equation for differential forms, Gyula Csató, Bernard Dacorogna, Olivier Kneuss, New York, Birkhäuser-Springer, 2012, 1 vol. (XI-436 p.), Progress in nonlinear differential equations and their applications, 978-0-8176-8312-2 • The Pullback Equation for Differential Forms, Texte imprimé, 9780817683146 |
書本目錄:
- 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.