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Chain-rule and change of variables in BV/Sobolev

By ExtraProxies | Proxy Quality | Comments are Closed | 2 February, 2018 | 0

A lot of results are available for the following chain-rule problem: (CRP1) Let $ f\colon \mathbb R \to \mathbb R$ be a $ C^1$ /Lipschitz function and let $ g \colon \mathbb R^d \to \mathbb R$ be a weakly differentiable function (e.g. $ W_{\rm loc}^{1,p}$ or $ BV_{\rm loc}$ ). Then the function $ fRead more

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