The Pullback Equation for Differential Forms
The Pullback Equation for Differential Forms
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微分形式的回拉方程
DOI：
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发表时间：
2011
期刊：
影响因子：
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通讯作者：
O. Kneuss
中科院分区：
文献类型：
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作者：
G. Csató;B. Dacorogna;O. Kneuss
介绍。第一部分外部形式和微分形式外部形式和可除性概念。微分形式-降维。-第二部分Hodge-Morrey分解和Poincare引理一个包含外导数和Gaffney不等式的恒等式Hodge-Morrey分解Cauchy-Riemann型一阶椭圆方程组庞加莱引理方程div u = f.-第三部分k = n的情形f x g > 0的情况。关于f的无符号假设第四部分0 <= k <= n-1的情形关于流动法的一般考虑。k = 0和k = 1的情况。k = 2的情况。例3 <= k <= n-1。第V部保持器舱间─保持器连续功能第VI部附录─必要条件。抽象不动点定理度理论。推荐信。进一步的阅读。符号。-指数.
Introduction.- Part I Exterior and Differential Forms.- Exterior Forms and the Notion of Divisibility.- Differential Forms.- Dimension Reduction.- Part II Hodge-Morrey Decomposition and Poincare Lemma.- An Identity Involving Exterior Derivatives and Gaffney Inequality.- The Hodge-Morrey Decomposition.- First-Order Elliptic Systems of Cauchy-Riemann Type.- Poincare Lemma.- The Equation div u = f.- Part III The Case k = n.- The Case f x 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 Holder Spaces.- Holder Continuous Functions.- Part VI Appendix.- Necessary Conditions.- An Abstract Fixed Point Theorem.- Degree Theory.- References.- Further Reading.- Notations.- Index.