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...
Guardado en:
| Autores principales: | , , |
|---|---|
| Formato: | Livre numérique |
| Lenguaje: | Anglais |
| Publicado: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edición: | 1st ed. 2012. |
| Colección: | Progress in Nonlinear Differential Equations and Their Applications
83 |
| Materias: | |
| Acceso en línea: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
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 |
| LEADER | 04865nam a22004457a 4500 | ||
|---|---|---|---|
| 001 | 973758 | ||
| 008 | 120110q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN157507378 | ||
| 020 | |a 9780817683139 | ||
| 041 | 0 | |a eng | |
| 082 | |a 515.353 | ||
| 084 | |a 15A75 | ||
| 084 | |a 35FXX | ||
| 084 | |a 58AXX | ||
| 100 | 1 | |a Csató, Gyula. | |
| 245 | 1 | 0 | |a The pullback equation for differential forms |c Gyula Csató, Bernard Dacorogna, Olivier Kneuss. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Progress in Nonlinear Differential Equations and Their Applications |v 83 |x 2374-0280 | |
| 500 | |a Description d'après consultation du 5 mars 2012 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. 425-428. Index | ||
| 505 | 1 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 <= 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 | |a Formes différentielles | ||
| 650 | |a Équation de pullback | ||
| 700 | 1 | |a Dacorogna, Bernard, |d 1953- |4 aut | |
| 700 | 1 | |a Kneuss, Olivier. |4 aut | |
| 776 | 0 | |0 158950402 |t The pullback equation for differential forms |f Gyula Csató, Bernard Dacorogna, Olivier Kneuss |c New York |n Birkhäuser-Springer |d 2012 |p 1 vol. (XI-436 p.) |s Progress in nonlinear differential equations and their applications |z 978-0-8176-8312-2 | |
| 776 | 0 | |t The Pullback Equation for Differential Forms |b Texte imprimé |z 9780817683146 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-8313-9 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-6XWHZ7C2-5 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:750607890 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-0-8176-8313-9 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:753967510 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-8313-9 |z Accès INSA CVL | |
| 997 | |0 973758 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||