In this paper we introduce a nonlinear version of the notion of Anzellotti’s pairing between divergence-measure vector fields and functions of bounded variation, motivated by possible applications to evolutionary quasilinear problems. As a consequence of our analysis, we prove a generalized Gauss–Green formula.
An extension of the pairing theory between divergence-measure fields and BV functions / Crasta, Graziano; De Cicco, Virginia. - In: JOURNAL OF FUNCTIONAL ANALYSIS. - ISSN 0022-1236. - 276:8(2019), pp. 2605-2635. [10.1016/j.jfa.2018.06.007]
An extension of the pairing theory between divergence-measure fields and BV functions
Crasta, Graziano
;De Cicco, Virginia
2019
Abstract
In this paper we introduce a nonlinear version of the notion of Anzellotti’s pairing between divergence-measure vector fields and functions of bounded variation, motivated by possible applications to evolutionary quasilinear problems. As a consequence of our analysis, we prove a generalized Gauss–Green formula.File allegati a questo prodotto
| File | Dimensione | Formato | |
|---|---|---|---|
|
Crasta_Extension_2019.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
437.94 kB
Formato
Adobe PDF
|
437.94 kB | Adobe PDF | Contatta l'autore |
|
Crasta_Exstension_2019.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
410.14 kB
Formato
Adobe PDF
|
410.14 kB | Adobe PDF |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
