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The paper studies the regularity properties of the truncation operator max(u,0) in Sobolev and Besov spaces and the space of functions with gradient of bounded variation on a Lipschitz open set.

On the regularity of the positive part of functions

SAVARE', GIUSEPPE
1996-01-01

Abstract

The paper studies the regularity properties of the truncation operator max(u,0) in Sobolev and Besov spaces and the space of functions with gradient of bounded variation on a Lipschitz open set.
1996
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
NONLINEAR ANALYSIS
sì
WOS:A1996VG22800006
2-s2.0-0030295631
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
9
1055
1074
20
Nonlinear Analysis, Theory, Methods & Applications focuses on papers that address significant problems in Nonlinear Analysis that have a sustainable and important impact on the development of new directions in the theory as well as potential applications. In particular, only papers within the areas of specialization of the Editorial Board Members will be considered. Authors are encouraged to check the areas of expertise of the Editorial Board in order to decide whether or not their papers are appropriate for this journal. The journal aims to apply very high standards in accepting papers for publication and will publish results that are of significant interest to many of the journal's readers, not narrowly specialized research. Papers dealing with applications will be limited to those that contain significant treatment of mathematics and not routine applications of mathematics. All effort will be made to process papers efficiently within a minimal amount of time.
Truncation; Positive part; Besov spaces; Functions of Bounded Variation; INTERPOLATION THEORY
http://www.imati.cnr.it/savare/pubblicazioni/Savare96b.pdf
1
info:eu-repo/semantics/article
262
Savare', Giuseppe
1 Contributo su Rivista::1.1 Articolo in rivista
none
1.1 Articolo in rivista
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/116477
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