局部凸空间上变分法问题的首次积分
最优化与控制
2008-03-13 v1 泛函分析
摘要
当解为局部凸空间上的可微曲线时,我们考虑变分法的基本问题。此类问题对连续正规可微的拉格朗日量容许欧拉-拉格朗日方程的推广[Orlov 2002]。在此,我们给出勒让德条件以及埃米·诺特定理的推广,从而得到局部凸空间上变分法问题的首次积分。
引用
@article{arxiv.math/0511347,
title = {First Integrals for Problems of Calculus of Variations on Locally Convex Spaces},
author = {Eugenio A. M. Rocha and Delfim F. M. Torres},
journal= {arXiv preprint arXiv:math/0511347},
year = {2008}
}
备注
Presented at OTFUSA'2005, International Conference on "Operator Theory, Function Spaces and Applications", dedicated to the 60th birthday of Professor F.-O. Speck, 7-9 July 2005, Aveiro, Portugal