The aim of this note is to present a new nonautonomous chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:R^N oR$ is a scalar function of bounded variation and $B$ admits a special integral form in terms of a locally bounded function $b(x,t)$, with $b(cdot,t)$ of bounded variation. It is an useful tool especially in view to applications to semicontinuity results for integral functional and to conservation laws .
A new nonautonomous chain rule in BV / DE CICCO, Virginia. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - STAMPA. - 27:1(2016), pp. 117-125. [10.4171/RLM/726]
A new nonautonomous chain rule in BV
DE CICCO, Virginia
2016
Abstract
The aim of this note is to present a new nonautonomous chain rule formula for the distributional derivative of the composite function $v(x)=B(x,u(x))$, where $u:R^N oR$ is a scalar function of bounded variation and $B$ admits a special integral form in terms of a locally bounded function $b(x,t)$, with $b(cdot,t)$ of bounded variation. It is an useful tool especially in view to applications to semicontinuity results for integral functional and to conservation laws .| File | Dimensione | Formato | |
|---|---|---|---|
|
DeCicco_Calculus_2016.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
80.89 kB
Formato
Adobe PDF
|
80.89 kB | Adobe PDF | Contatta l'autore |
|
DeCicco_preprint_Calculus_2016.pdf
accesso aperto
Tipologia:
Documento in Post-print (versione successiva alla peer review e accettata per la pubblicazione)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
270.41 kB
Formato
Adobe PDF
|
270.41 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
