Relations between variational derivatives of functions and scalar densities
Copyright policy )Relations between variational derivatives of functions and scalar densities
In view of applications to relativistic field theories, the authors derive and discuss the appropriate ``Leibniz rule'' for the first and second variation of a Lagrangian density (of the second order) explicitly expressed as the product of an invariant function and an invariant volume density, both depending dynamically on field variables.
- University of Turin Italy
- University of Bari Aldo Moro Italy
variational principles, manifold, Applications of variational problems in infinite-dimensional spaces to the sciences, applications to relativistic field theories, Lagrangian densities, Variational principles in infinite-dimensional spaces
variational principles, manifold, Applications of variational problems in infinite-dimensional spaces to the sciences, applications to relativistic field theories, Lagrangian densities, Variational principles in infinite-dimensional spaces
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