Analogue of Pontryagin's maximum principle for multiple integrals minimization problems
Optimization and Control
2016-10-27 v1
Abstract
The theorem like Pontryagin's maximum principle for multiple integrals is proved. Unlike the usual maximum principle, the maximum should be taken not over all matrices, but only on matrices of rank one. Examples are given.
Cite
@article{arxiv.1610.08353,
title = {Analogue of Pontryagin's maximum principle for multiple integrals minimization problems},
author = {Zelikin Mikhail},
journal= {arXiv preprint arXiv:1610.08353},
year = {2016}
}