We study the properties of superposition of Bounded Hessian functions, establishing the validity of a second order chain rule. We prove rectifiability properties of all noncritical level sets of BH-functions by showing a geometric measure theory analogous of Dini’s Theorem

Superposition and chain rule for bounded Hessian functions

SAVARE', GIUSEPPE;
1998-01-01

Abstract

We study the properties of superposition of Bounded Hessian functions, establishing the validity of a second order chain rule. We prove rectifiability properties of all noncritical level sets of BH-functions by showing a geometric measure theory analogous of Dini’s Theorem
1998
The Mathematics category includes resources dealing with mathematics, applied mathematics, statistics and probability.
Sì, ma tipo non specificato
Inglese
Internazionale
STAMPA
140
237
281
Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.
Chain rule; Functions with bounded variation; BH functions; Fine properties of functions; Second order derivatives; Second order calculus for BV functions; Geometric measure theory; Dini theorem
http://www.imati.cnr.it/~savare/pubblicazioni/Savare-Tomarelli98.pdf
2
info:eu-repo/semantics/article
262
Savare', Giuseppe; Tomarelli, F.
1 Contributo su Rivista::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/11571/116462
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