Field Theory for Multiple Integrals
Optimization and Control
2010-03-11 v3 Analysis of PDEs
Abstract
New constructions in the theory of fields for multiple integrals are designed. Generalizations of the Legendre - Weyl - Caratheodory transforms and corresponding invariant integrals are introduced and explored. Connection and curvature of bundles induced by a field of extremals are calculated.
Keywords
Cite
@article{arxiv.0911.2372,
title = {Field Theory for Multiple Integrals},
author = {M. Zelikin},
journal= {arXiv preprint arXiv:0911.2372},
year = {2010}
}