On the superposition operator between Sobolev spaces: well-definedness, continuity, boundedness, and higher-order chain rule (Q2786841)
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scientific article; zbMATH DE number 6544867
| Language | Label | Description | Also known as |
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| English | On the superposition operator between Sobolev spaces: well-definedness, continuity, boundedness, and higher-order chain rule |
scientific article; zbMATH DE number 6544867 |
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23 February 2016
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On the superposition operator between Sobolev spaces: well-definedness, continuity, boundedness, and higher-order chain rule (English)
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In two previous papers with \textit{G. Dinca} [Differ. Integral Equ. 26, No. 1--2, 11--58 (2013; Zbl 1278.47058); Adv. Nonlinear Stud. 14, No. 1, 137--158 (2014; Zbl 1307.47066)], the author studied sufficient conditions for the boundedness and continuity of (autonomous) superposition operators between Sobolev spaces.NEWLINENEWLINE In this paper, he gives a deeper study of these and related properties, including a discussion on how far the sufficient conditions are from being necessary.
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