Year: 2021
Author: Dong Li
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 394–404
Abstract
We consider the Nemytskii operators $u\to |u|$ and $u\to u^{\pm}$ in a bounded domain $\Omega$ with $C^2$ boundary. We give elementary proofs of the boundedness in $H^s(\Omega)$ with $0\le s<3/2$.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/aam.OA-2021-0006
Annals of Applied Mathematics, Vol. 37 (2021), Iss. 3 : pp. 394–404
Published online: 2021-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 11
Keywords: Nemytskii nonlocal extension fractional Laplacian.