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On some microlocal properties of the range of a pseudo-differential operator of principal type.

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Author

Summary, in English

We obtain microlocal analogues of results by L. Hormander about inclusion relations between the ranges of first order differential operators with coefficients in C-infinity that fail to be locally solvable. Using similar techniques, we study the properties of the range of classical pseudodifferential operators of principal type that fail to satisfy condition (Psi).

Department/s

Publishing year

2012

Language

English

Pages

423-474

Publication/Series

Analysis & PDE

Volume

5

Issue

3

Document type

Journal article

Publisher

Mathematical Sciences Publishers

Topic

  • Mathematics

Keywords

  • pseudodifferential operators
  • microlocal solvability
  • principal type
  • condition (Psi)
  • inclusion relations
  • bicharacteristics

Status

Published

Research group

  • Partial differential equations

ISBN/ISSN/Other

  • ISSN: 2157-5045