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On the Microlocal Properties of the Range of Systems of Principal Type

In English

Författare

Summary, in English

The purpose of this paper is to study microlocal conditions for inclusion relations between the ranges of square systems of pseudodifferential operators which fail to be locally solvable. The work is an extension of earlier results for the scalar case in this direction, where analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C which fail to be locally solvable were obtained. We shall study the properties of the range of systems of principal type with constant characteristics for which condition () is known to be equivalent to microlocal solvability.

Avdelning/ar

Publiceringsår

2013

Språk

Engelska

Sidor

410-454

Publikation/Tidskrift/Serie

Communications in Partial Differential Equations

Volym

38

Issue

3

Dokumenttyp

Artikel i tidskrift

Förlag

Taylor & Francis

Ämne

  • Mathematics

Nyckelord

  • Bicharacteristics
  • Condition ()
  • Inclusion relations
  • Microlocal
  • solvability
  • Principal type
  • Systems of pseudodifferential operators
  • Primary 35S05
  • Secondary 35A02
  • 58J40
  • 47G30

Status

Published

Forskningsgrupp

  • Partial differential equations

ISBN/ISSN/Övrigt

  • ISSN: 0360-5302