In this note we recall some results concerning the regularity of the free boundary in tho- phase problems for elliptic operators. In particular we describe some geometric techniques applied in order to prove, in a series of papers, that flat free boundaries (in a suitable sense) are smooth. Moreover we introduce some recent results contained in a joint paper with Sandro Salsa from Politenico of Milan.
Regolarità delle frontiere libere piatte in problemi a due fasi per operatori ellittici / F. Ferrari. - ELETTRONICO. - A.A. 2005/2006:(2006). (Intervento presentato al convegno Seminario Pini, seminario di Analisi Matematica http://www.dm.unibo.it/seminario-pini/ tenutosi a Bologna nel 2/3/2006 (data del seminario)).
Regolarità delle frontiere libere piatte in problemi a due fasi per operatori ellittici
FERRARI, FAUSTO
2006
Abstract
In this note we recall some results concerning the regularity of the free boundary in tho- phase problems for elliptic operators. In particular we describe some geometric techniques applied in order to prove, in a series of papers, that flat free boundaries (in a suitable sense) are smooth. Moreover we introduce some recent results contained in a joint paper with Sandro Salsa from Politenico of Milan.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.