Question: Let f: R->R be a strictly convex C 2 function and let F[u(.)] be defined as the following: fa) Write the Euler-Lagrange equation for the
Let f: R->R be a strictly convex C2 function and let F[u(.)] be defined as the following:
![Let f: R->R be a strictly convex C2 function and let F[u(.)]](https://dsd5zvtm8ll6.cloudfront.net/si.experts.images/questions/2024/10/671232594a41c_7856712325938720.jpg)
\fa) Write the Euler-Lagrange equation for the minimizer m (:13) of the following problem: minimize F [u()] subject to: u E A, Where A := {u : [0,1] > n | u e 01[0, 1] and mm = (.5 11(1) = b}. b) Assuming the minimizer u*(:1:) is a, 02 function, prove it is strictly convex
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