Constrained Variational Calculus for Higher Order Classical Field Theories
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🧮 math-ph
math.MP
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classicalconstrainedfieldgeometricalhigherordertheoriesapplication
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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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