In the first part of the paper we study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fr´echet space Lp^loc(Omega). In the second one non homogeneous microlocal properties are introduced and propagation of Sobolev singularities for solutions to (pseudo)differential equations is given. For both the arguments actual examples are provided.

m-Microlocal elliptic pseudodifferential operators acting on L^p_loc(Omega)

GARELLO, Gianluca;
2016-01-01

Abstract

In the first part of the paper we study the minimal and maximal extension of a class of weighted pseudodifferential operators in the Fr´echet space Lp^loc(Omega). In the second one non homogeneous microlocal properties are introduced and propagation of Sobolev singularities for solutions to (pseudo)differential equations is given. For both the arguments actual examples are provided.
2016
14-15
1820
1837
http://onlinelibrary.wiley.com/doi/10.1002/mana.v289.14-15/issuetoc
https://arxiv.org/abs/1412.7326
Garello, Gianluca; Morando, Alessandro
File in questo prodotto:
File Dimensione Formato  
Garello_2016.pdf

Accesso riservato

Tipo di file: PDF EDITORIALE
Dimensione 290.94 kB
Formato Adobe PDF
290.94 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.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1621473
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 7
  • ???jsp.display-item.citation.isi??? 5
social impact