We consider the Vlasov–Poisson equation in R3 with initial data which are not L1 in space and have unbounded support in the velocities. Assuming for the density a slight decay in space and a strong decay in velocities, we prove the existence and uniqueness of the solution, thus generalizing the analogous result by the same authors for data compactly supported in the velocities.
The Vlasov-Poisson equation in R^3 with infinite charge and velocities / Caprino, Silvia; Cavallaro, Guido; Marchioro, Carlo. - In: JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS. - ISSN 0219-8916. - 15:3(2018), pp. 407-442. [10.1142/S0219891618500157]
The Vlasov-Poisson equation in R^3 with infinite charge and velocities
Guido Cavallaro
;Carlo Marchioro
2018
Abstract
We consider the Vlasov–Poisson equation in R3 with initial data which are not L1 in space and have unbounded support in the velocities. Assuming for the density a slight decay in space and a strong decay in velocities, we prove the existence and uniqueness of the solution, thus generalizing the analogous result by the same authors for data compactly supported in the velocities.| File | Dimensione | Formato | |
|---|---|---|---|
|
Caprino_Vlasov–Poisson_2018.pdf
solo gestori archivio
Tipologia:
Versione editoriale (versione pubblicata con il layout dell'editore)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
456.25 kB
Formato
Adobe PDF
|
456.25 kB | Adobe PDF | Contatta l'autore |
|
Caprino_preprint_Vlasov–Poisson_2018.pdf
accesso aperto
Tipologia:
Documento in Pre-print (manoscritto inviato all'editore, precedente alla peer review)
Licenza:
Creative commons
Dimensione
340.42 kB
Formato
Unknown
|
340.42 kB | Unknown |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
