By Peter Gladbach and Heiner Olbermann

We prove weak and strong versions of the coarea formula and the chain rule for distributional Jacobian determinants $Ju$ for functions $u$ in fractional Sobolev spaces $W^{s,p}(\Omega)$, where $\Omega$ is a bounded domain in $\mathbb{R}^n$ with smooth boundary. The weak forms of the formulae are proved for the range $sp>n-1$,... Show more

July 29, 2019

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Coarea formulae and chain rules for the Jacobian determinant in fractional Sobolev spaces

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