The Pullback Equation for Differential Forms
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Introduction.- Part I Exterior and Differential Forms.- Exterior Forms and the Notion of Divisibility.- Differential Forms.- Dimension Reduction.- Part II Hodge-Morrey Decomposition and Poincar Lemma.- An Identity Involving Exterior Derivatives and Gaffney Inequality.- The Hodge-Morrey Decomposition.- First-Order Elliptic Systems of Cauchy-Riemann Type.- Poincar 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 H lder Spaces.- H lder Continuous Functions.- Part VI Appendix.- Necessary Conditions.- An Abstract Fixed Point Theorem.- Degree Theory.- References.- Further Reading.- Notations.- Index.
Format:Hardcover
Language:English
ISBN:0817683127
ISBN13:9780817683122
Release Date:November 2011
Publisher:Birkhauser
Length:436 Pages
Weight:1.77 lbs.
Dimensions:1.0" x 6.1" x 9.2"
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