Maximal Lp-regularity for a Cauchy problem for a second order parabolic operator on the t-axis is proven. Here, the elliptic operator, defined in a disk of R2, is the infinitesimal generator of an holomorphic semigroup. The main result is obtained in the context of Muckenhoupt weighthed norm estimates.

Maximal Lp-regularity for a parabolic evolution equation related to an elliptic discontinuous operator / O.Arena. - ELETTRONICO. - (2010).

Maximal Lp-regularity for a parabolic evolution equation related to an elliptic discontinuous operator

ARENA, ORAZIO
2010

Abstract

Maximal Lp-regularity for a Cauchy problem for a second order parabolic operator on the t-axis is proven. Here, the elliptic operator, defined in a disk of R2, is the infinitesimal generator of an holomorphic semigroup. The main result is obtained in the context of Muckenhoupt weighthed norm estimates.
2010
O.Arena
File in questo prodotto:
File Dimensione Formato  
MAXIMAL LP REG.pdf

Accesso chiuso

Tipologia: Versione finale referata (Postprint, Accepted manuscript)
Licenza: Tutti i diritti riservati
Dimensione 269.03 kB
Formato Adobe PDF
269.03 kB Adobe PDF   Richiedi una copia

I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/391922
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? ND
social impact