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Variational derivative

For a functional

H [u]

, its variational derivative is defined by

\frac{d}{d ϵ} H [u + ϵ v]_{ϵ = 0} = \int \frac{δH}{δ u} v d x

after integrating derivatives of

v

by parts and discarding the boundary terms.

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- Hamiltonian field equation Variational derivative 20

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