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

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Abstract

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).

Detaljer

Författare
  • Jens Wittsten
Enheter & grupper
Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Sidor (från-till)423-474
TidskriftAnalysis & PDE
Volym5
Utgåva nummer3
StatusPublished - 2012
PublikationskategoriForskning
Peer review utfördJa