The question of solvability

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Abstract

We give a proof of the Nirenberg-Treves conjecture: that local solvability of principal type pseudodifferential operators is equivalent to condition (Psi). This condition rules out sign changes from - to + of the imaginary part of the principal symbol along the oriented bicharacteristics of the real part. We obtain local solvability by proving a localizable a priori estimate for the adjoint operator with a loss of two derivatives (compared with the elliptic case).

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Forskningsområden

Ämnesklassifikation (UKÄ) – OBLIGATORISK

  • Matematik

Nyckelord

Originalspråkengelska
Titel på värdpublikationGraduate Series in Analysis
RedaktörerFerruccio Colombini, Tatsuo Nishitani
FörlagInternational Press, Somerville, MA, USA
Sidor159-184
Antal sidor26
ISBN (tryckt)1-57146-150-7
StatusPublished - 2003
PublikationskategoriForskning
Peer review utfördJa
EvenemangHyperbolic problems and related topics - Cortona, Italien
Varaktighet: 2002 sep 10 → …

Konferens

KonferensHyperbolic problems and related topics
LandItalien
OrtCortona
Period2002/09/10 → …