In a separable Banach spaceE, we study the invariance of a closed set Kunder the action of the evolution equation associated with a maximal dissipative linear operator Aperturbed by a quasi-dissipative continuous termB. Using the distance to the closed set, we give a general necessary and sufficient condition for the invariance ofK. Then, we apply our result to several examples of partial differential equations in Banach and Hilbert spaces.
Cannarsa, P., Da Prato, G., Frankowska, H. (2018). Invariance for quasi-dissipative systems in Banach spaces. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 457(2), 1173-1187 [10.1016/j.jmaa.2016.11.087].
Invariance for quasi-dissipative systems in Banach spaces
Cannarsa P.
;
2018-01-01
Abstract
In a separable Banach spaceE, we study the invariance of a closed set Kunder the action of the evolution equation associated with a maximal dissipative linear operator Aperturbed by a quasi-dissipative continuous termB. Using the distance to the closed set, we give a general necessary and sufficient condition for the invariance ofK. Then, we apply our result to several examples of partial differential equations in Banach and Hilbert spaces.| File | Dimensione | Formato | |
|---|---|---|---|
|
CDPF_invariance16.pdf
solo utenti autorizzati
Descrizione: Articolo principale
Licenza:
Copyright dell'editore
Dimensione
291.71 kB
Formato
Adobe PDF
|
291.71 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.
