On Fractional Smoothness of Modulus of Functions

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摘要 We consider the Nemytskii operators u→|u|and u→u^(±) in a bounded domain Ω with C^(2) boundary.We give elementary proofs of the boundedness in H^(Ω) with 0≤s<3/2.

作者 Dong Li

机构地区 SUS Tech International Center for Mathematics and Department of Mathematics

出处《Annals of Applied Mathematics》 2021年第3期394-404,共11页 应用数学年刊（英文版）

关键词 Nemytskii nonlocal extension fractional Laplacian

分类号 O174 [理学—基础数学]

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Annals of Applied Mathematics

2021年第3期

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On Fractional Smoothness of Modulus of Functions

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