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Mathematics  2010 

The Hamilton-Jacobi Formalism for Higher Order Field Theories

DOI: 10.1142/S0219887810004889

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Abstract:

We extend the geometric Hamilton-Jacobi formalism for hamiltonian mechanics to higher order field theories with regular lagrangian density. We also investigate the dependence of the formalism on the lagrangian density in the class of those yelding the same Euler-Lagrange equations.

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