The initial-value problem associated to a maximal monotone operator may be formulated as a minimization principle, on the basis of a theory that was pioneered by Brezis, Ekeland, Nayroles and Fitzpatrick. This note defines the notions of structural compactness and structural stability, and reviews results concerning the stability of maximal monotone flows under perturbations not only of data but also of the operator. This rests upon De Giorgi' theory of Gamma-convergence, and on the use of an exotic nonlinear topology of weak type.
On Fitzpatrick’s theory and stability of flows / Visintin, Augusto. - In: ATTI DELLA ACCADEMIA NAZIONALE DEI LINCEI. RENDICONTI LINCEI. MATEMATICA E APPLICAZIONI. - ISSN 1120-6330. - 27:2(2016), pp. 151-180. [10.4171/RLM/729]
On Fitzpatrick’s theory and stability of flows
Visintin, Augusto
2016-01-01
Abstract
The initial-value problem associated to a maximal monotone operator may be formulated as a minimization principle, on the basis of a theory that was pioneered by Brezis, Ekeland, Nayroles and Fitzpatrick. This note defines the notions of structural compactness and structural stability, and reviews results concerning the stability of maximal monotone flows under perturbations not only of data but also of the operator. This rests upon De Giorgi' theory of Gamma-convergence, and on the use of an exotic nonlinear topology of weak type.| File | Dimensione | Formato | |
|---|---|---|---|
|
On Fitzpatrick’s.pdf
Solo gestori archivio
Tipologia:
Versione editoriale (Publisher’s layout)
Licenza:
Tutti i diritti riservati (All rights reserved)
Dimensione
214.02 kB
Formato
Adobe PDF
|
214.02 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione
