Constrained Variational Calculus for Higher Order Classical Field Theories
Mathematical Physics
2015-05-08 v2 math.MP
Abstract
We develop an intrinsic geometrical setting for higher order constrained field theories. As a main tool we use an appropriate generalization of the classical Skinner-Rusk formalism. Some examples of application are studied, in particular, applications to the geometrical description of optimal control theory for partial differential equations.
Cite
@article{arxiv.1005.2152,
title = {Constrained Variational Calculus for Higher Order Classical Field Theories},
author = {Cedric M. Campos and Manuel de Leon and David Martin de Diego},
journal= {arXiv preprint arXiv:1005.2152},
year = {2015}
}
Comments
25 pages; 4 diagrams