Extensions of Noether's Second Theorem: from continuous to discrete systems
2011 ◽
Vol 467
(2135)
◽
pp. 3206-3221
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Keyword(s):
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 to deal with finite-difference systems. The results are easy to apply; several well-known continuous and discrete systems are used as illustrations.
2004 ◽
Vol 171
(2)
◽
pp. 297-299
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Keyword(s):
2019 ◽
Vol 3
(1)
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Keyword(s):
2001 ◽
Vol 160
(3)
◽
pp. 245-269
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Keyword(s):
Keyword(s):
1996 ◽
Vol 16
(2)
◽
pp. 201-215
◽
2007 ◽
Vol 463
(2081)
◽
pp. 1379-1392
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Keyword(s):
2013 ◽
Vol 35
(2)
◽
pp. A1137-A1160
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Keyword(s):
2009 ◽
pp. 43-54