On the solvability of operators with multiple characteristics

Hiroshi Koshimizu, Kiyoshi Takeuchi

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1 Citation (Scopus)

Abstract

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
Volume26
Issue number9-10
DOIs
Publication statusPublished - 2001
Externally publishedYes

Keywords

  • D-module
  • Hyperfunction
  • Solvability

ASJC Scopus subject areas

  • Analysis
  • Applied Mathematics

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