We characterize the wave front set $WF^P_ast(u)$ with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution $uinD'(Omega)$, $Omega$ an open subset in $R^n$. We use recent Paley-Wiener theorems for generalized ultradifferentiable classes in the sense of Braun, Meise and Taylor. We also give several examples and applications to the regularity of operators with variable coefficients and constant strength. Finally, we construct a distribution with prescribed wave front set of this type.

A characterization of the wave front set defined by the iterates of an operator with constant coefficients

BOITI, Chiara;
2017

Abstract

We characterize the wave front set $WF^P_ast(u)$ with respect to the iterates of a linear partial differential operator with constant coefficients of a classical distribution $uinD'(Omega)$, $Omega$ an open subset in $R^n$. We use recent Paley-Wiener theorems for generalized ultradifferentiable classes in the sense of Braun, Meise and Taylor. We also give several examples and applications to the regularity of operators with variable coefficients and constant strength. Finally, we construct a distribution with prescribed wave front set of this type.
File in questo prodotto:
File Dimensione Formato  
BJ-RACSAM.pdf

solo gestori archivio

Descrizione: Full text editoriale
Tipologia: Full text (versione editoriale)
Licenza: NON PUBBLICO - Accesso privato/ristretto
Dimensione 669.42 kB
Formato Adobe PDF
669.42 kB Adobe PDF   Visualizza/Apri   Richiedi una copia
Boiti_Jornet-A_characterization.pdf

accesso aperto

Descrizione: Post print
Tipologia: Post-print
Licenza: PUBBLICO - Pubblico con Copyright
Dimensione 510.55 kB
Formato Adobe PDF
510.55 kB Adobe PDF Visualizza/Apri

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

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11392/2263614
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 8
  • ???jsp.display-item.citation.isi??? 6
social impact