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

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).

• Författare: Jens Wittsten
• Avdelning/ar: Matematik (naturvetenskapliga fakulteten); Partial differential equations
• Publiceringsår: 2012
• Språk: Engelska
• Sidor: 423-474
• Publikation/Tidskrift/Serie: Analysis & PDE
• Volym: 5
• Issue: 3
• Länkar: http://dx.doi.org/10.2140/apde.2012.5.423
• Dokumenttyp: Artikel i tidskrift
• Förlag: Mathematical Sciences Publishers
• Ämne: Mathematics
• Nyckelord: pseudodifferential operators; microlocal solvability; principal type; condition (Psi); inclusion relations; bicharacteristics
• Status: Published
• Forskningsgrupp: Partial differential equations
• ISBN/ISSN/Övrigt: ISSN: 2157-5045