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Journal Articles Journal of Evolution Equations Year : 2001

Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces

Haïm Brezis
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Petru Mironescu
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Abstract

Our main result is that, when $f$ is smooth and has bounded derivatives, and when $u$ belongs to the spaces $W^{s,p}$ and $W^{1,sp}$, the map $f(u)$ is in $W^{s,p}$.
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Dates and versions

hal-00747694 , version 1 (01-11-2012)

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Haïm Brezis, Petru Mironescu. Gagliardo-Nirenberg, composition and products in fractional Sobolev spaces. Journal of Evolution Equations, 2001, 1 (4), pp.387-404. ⟨10.1007/PL00001378⟩. ⟨hal-00747694⟩
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