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May 1st, 2012, 10:18 AM  #1 
Newbie Joined: Feb 2012 Posts: 3 Thanks: 0  Euler Lagrange Equation Computation
Hello, I am reading a paper on evolution problems of the type u(0) = 0 u' (t) = v (t) v(t) = argmin {G (t, u(t), v(t)} The authour claims that the Euler Lagrange equation related to the last equation is dG / dv = 0 (1) I can not understand this. The Euler Equation formally can be written as dG / du  d (dG/dv) / dx (2) and this equation will be satisifed by u. Thisis different from (2) ( even accounting that (2) looks for v = u', and not u)! Any help please? I am confused. Thank you! 

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