SU\G(𝔸)/K·U

On the Solvability of a Class of Second Order Degenerate Operators

Serena Federico, Alberto Parmeggiani

Type: Book-Chapter

Publication Date: 2020-01-01

Citations: 1

DOI: https://doi.org/10.1007/978-3-030-36138-9_13

Abstract

In this paper we will be concerned with the problem of solvability of second order degenerate operators that are not of principal type. We will describe some recent results we have obtained about local solvability in the Sobolev spaces of a class of degenerate operators which is an elaboration of the class considered by Colombini-Cordaro-Pernazza (in turn, an elaboration of the adjoint of the Kannai operator).

Locations

  • Applied and numerical harmonic analysis - View
  • Archivio istituzionale della ricerca (Alma Mater Studiorum Università di Bologna) - View - PDF

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Works Cited by This (33)

Action Title Year Authors
+ The analysis of linear partial differential operators 1990 Lars Hörmander
+ PDF Chat Operators of subprincipal type 2017 Nils Dencker
+ Local solvability of linear differential operators with double characteristics II: Sufficient conditions for left-invariant differential operators of order two on the Heisenberg group 2007 Detlef Müller
+ LOCAL SOLVABILITY OF PSEUDODIFFERENTIAL OPERATORS WITH CHARACTERISTICS OF SECOND MULTIPLICITY 1976 Petar Popivanov
+ A necessary condition for local solvability for a class of operators with double characteristics 1983 Gerardo A. Mendoza
Günther Uhlmann
+ PDF Chat Fourier integral operators. I 1971 Lars Hörmander
+ Local solvability for a class of evolution equations 2010 Ferruccio Colombini
Paulo D. Cordaro
Ludovico Pernazza
+ On hypoellipticity of second order operators 1976 Richard Beals
Charles Fefferman
+ PDF Chat Hypoellipticity of a second order operator with a principal symbol changing sign across a smooth hypersurface 2006 Toyohiro Akamatsu
+ Solvability for a class of non-homogeneous differential operators on two-step nilpotent groups 1996 Detlef Müller
Fulvio Ricci