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

By Peter Gladbach and Heiner Olbermann
We prove weak and strong versions of the coarea formula and the chain rule for distributional Jacobian determinants JuJu for functions uu in fractional Sobolev spaces Ws,p(Ω)W^{s,p}(\Omega), where Ω\Omega is a bounded domain in Rn\mathbb{R}^n with smooth boundary. The weak forms of the formulae are proved for the range sp>n1sp>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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