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 language | English |
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Pages (from-to) | 1691-1720 |
Number of pages | 30 |
Journal | Communications in Partial Differential Equations |
Volume | 26 |
Issue number | 9-10 |
DOIs | |
Publication status | Published - 2001 |
Externally published | Yes |
Keywords
- D-module
- Hyperfunction
- Solvability
ASJC Scopus subject areas
- Analysis
- Applied Mathematics