Extensions of Noether's Second Theorem: from continuous to discrete systems
Extensions of Noether's Second Theorem: from continuous to discrete systems
A simple local proof of Noether's Second Theorem is given. This proof immediately leads to a generalization of the theorem, yielding conservation laws and/or explicit relationships between the Euler–Lagrange equations of any variational problem whose symmetries depend on a set of free or partly constrained functions. Our approach extends further …