We establish well-posedness of initial-boundary value problems for continuity equations with BV (bounded total variation) coefficients. We do not prescribe any condition on the orientation of the coefficients at the boundary of the domain. We also discuss some examples showing that, regardless of the orientation of the coefficients at the boundary, uniqueness may be violated as soon as the BV regularity deteriorates at the boundary. © 2013 Elsevier Masson SAS.
Initial-boundary value problems for continuity equations with BV coefficients
L V Spinolo
2014
Abstract
We establish well-posedness of initial-boundary value problems for continuity equations with BV (bounded total variation) coefficients. We do not prescribe any condition on the orientation of the coefficients at the boundary of the domain. We also discuss some examples showing that, regardless of the orientation of the coefficients at the boundary, uniqueness may be violated as soon as the BV regularity deteriorates at the boundary. © 2013 Elsevier Masson SAS.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
prod_287492-doc_83547.pdf
solo utenti autorizzati
Descrizione: Initial-boundary value problems for continuity equations with BV coefficients
Tipologia:
Versione Editoriale (PDF)
Dimensione
439.1 kB
Formato
Adobe PDF
|
439.1 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.
