Constrained variational calculus for higher order classical field theories

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 22 Oct 2010Embargo end date: 01 Jan 2010Publisher:IOP PublishingJournal:Journal of Physics A: Mathematical and Theoretical, volume 43, page 455,206 (issn: 1751-8113, eissn: 1751-8121,

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Authors: Campos, Cédric M.; León, Manuel de; Martín de Diego, David;

doi: 10.1088/1751-8113/43/45/455206 , 10.48550/arxiv.1005.2152

arXiv: 1005.2152

handle: 10261/36461

Constrained variational calculus for higher order classical field theories

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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.

25 pages; 4 diagrams

Related Organizations

Spanish National Research Council
Spain
Institute of Mathematical Sciences
Spain

Keywords

Particle physics and field theory, Mathematical physics, FOS: Physical sciences, 70S05 (Primary), 70H50, 53C80, 55R10 (Secondary), Mathematical Physics (math-ph), Mathematical Physics

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