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Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
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Calculus variation question
Assume that we have to minimize the integral $I[y]=\int_0^1 L(x,y,y'(x))dx$ for smooth diffeomorphic mappings $y:[0,1]\to [0,1]$ with $y(0)=0$ and $y(1)=1$, where $L\in C^\infty(R\times R\times R)$, a …