We prove necessary and sufficient conditions for the validity of the classical chain rule in the Sobolev space $W_{loc}^{1,1}(R^N; R^d)$ and in the space $BV_{loc}(R^N; R^d)$ of functions of bounded variation.
Necessary and sufficient conditions for the chain rule in W^{1,1}_{loc}(R^N;R^d) and BV_{loc}(R^N;R^d) / G., Leoni; Morini, Massimiliano. - In: JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY. - ISSN 1435-9855. - 9:(2007), pp. 219-252. [10.4171/JEMS/78]
Necessary and sufficient conditions for the chain rule in W^{1,1}_{loc}(R^N;R^d) and BV_{loc}(R^N;R^d)
MORINI, Massimiliano
2007-01-01
Abstract
We prove necessary and sufficient conditions for the validity of the classical chain rule in the Sobolev space $W_{loc}^{1,1}(R^N; R^d)$ and in the space $BV_{loc}(R^N; R^d)$ of functions of bounded variation.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
leoni-jems.pdf
non disponibili
Tipologia:
Documento in Post-print
Licenza:
NON PUBBLICO - Accesso privato/ristretto
Dimensione
245.81 kB
Formato
Adobe PDF
|
245.81 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
