A global construction for pseudo-differential operators with non-involutive characteristics
✍ Scribed by J. J. Duistermaat; J. Sjöstrand
- Publisher
- Springer-Verlag
- Year
- 1973
- Tongue
- English
- Weight
- 733 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0020-9910
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## Abstract We use the method proposed by H. Kumano‐go in the classical case to construct a parametrix of the equation $ \textstyle {{\partial u} \over {\partial t}}$ + __q__ (__x, D__ )__u__ = 0 where __q__ (__x, D__ ) is a pseudo‐differential operator with symbol in the class introduced by W. Hoh
## Abstract We prove the following inclusion where __WF__~\*~ denotes the non‐quasianalytic Beurling or Roumieu wave front set, Ω is an open subset of \documentclass{article}\usepackage{amssymb}\begin{document}\pagestyle{empty}$\mathbb {R}^n$\end{document}, __P__ is a linear partial differential o