Constrained Variational Calculus for Higher Order Classical Field Theories

Details Constrained Variational Calculus for Higher Order Classical Field Theories Constrained Variational Calculus for Higher Order Classical Field Theories

2010-05-12

arxiv.org/abs/1005.2152v2

Physics

Mathematical Physics

25 pages; 4 diagrams

Scientific paper

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.

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