On the solvability of operators with multiple characteristics

Hiroshi Koshimizu, Kiyoshi Takeuchi

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1 Citation (Scopus)


We study the solvability of partial differential operators with multiple characteristics, whose characteristic varieties have singularities outside the zero-section of the cotangent bundle. By making use of the theory of bimicrolocalization, we prove the solvability for a class of operators in the space of Sato's hyperfunctions. This result generalizes the classical results due to Bony-Schapira and Kashiwara-Kawai etc. To obtain it, we also discuss the solvability for systems of partial differential equations.

Original languageEnglish
Pages (from-to)1691-1720
Number of pages30
JournalCommunications in Partial Differential Equations
Issue number9-10
Publication statusPublished - 2001


  • D-module
  • Hyperfunction
  • Solvability


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