EULER-LAGRANGE EQUATIONS AS DIVERGENCE CONDITIONS
作者:
Hanno Rund,
期刊:
Quaestiones Mathematicae
(Taylor Available online 1981)
卷期:
Volume 4,
issue 3
页码: 229-253
ISSN:1607-3606
年代: 1981
DOI:10.1080/16073606.1981.9631875
出版商: Taylor & Francis Group
关键词: 49C10
数据来源: Taylor
摘要:
Any multiple integral problem in the calculus of variations gives rise to a pair of distributions on the configuration space. Whenever these distributions are integrable, the Euler-Lagrange equations are equivalent to the condition that the divergences of a set of uniquely defined vector fields vanish. This leads to a simple geometrical interpretation of the Euler-Lagrange equations.
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