The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83)

Csato, Gyula, Kneuss, Olivier, Dacorogna, Bernard

ISBN 10: 0817683127 / ISBN 13: 9780817683122

Verlag: Birkhauser, 2011

Beschreibung

436 pp., Hardcover, previous owner's small hand stamp to front free endpaper else fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.

Bestandsnummer des Verkäufers ZB1322583

Bibliografische Details

• Titel: The Pullback Equation for Differential Forms (Progress in Nonlinear Differential Equations and Their Applications, Vol. 83)
• Verlag: Birkhauser
• Erscheinungsjahr: 2011
• Sprache: Englisch
• ISBN-10: 0817683127
• ISBN-13: 9780817683122
• Einband: Hardcover
• Zustand: Fine

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Csato, Dacorogna, and Kneuss teach at Ecole Polytechnique Fédérale de Lausanne in Switzerland.