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Results tagged with calculus-of-variations
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user 175128
Questions on the calculus of variations, which deals with the optimization of functionals mostly defined on infinite dimensional spaces.
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answer
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Bounded variation of the partial derivatives of a convex function
Let $f:\mathbb R^2\to\mathbb R$ be a convex function. For simplicity, assume that $f\in C^1$. A general theorem which can be found in the book of Evans and Gariepy says that the gradient $\nabla f$ is …
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