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May 1st, 2012, 10:18 AM   #1
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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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