The Hilbert–Carathéodory Form for Parametric Multiple Integral Problems in the Calculus of Variations

被引：0
|
作者：
M. Crampin
D. J. Saunders
机构：
[1] The Open University,Department of Applied Mathematics
来源：
Acta Applicandae Mathematica | 2003年 / 76卷
关键词：
calculus of variations; multiple integral problems; parametric problems; Finsler geometry; Hilbert form; Carathéodory form; Lepage equivalent;
D O I：
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学科分类号：
摘要：
We define, and discuss some properties of, a form which bears a relation to the Carathéodory form for multiple integral problems in the calculus of variations similar to the relation that the Hilbert 1-form of Finsler geometry bears to the Poincaré–Cartan form for one-dimensional variational problems.
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页码：37 / 55
页数：18
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