✦ LIBER ✦
Wave front sets for ultradistribution solutions of linear partial differential operators with coefficients in non-quasianalytic classes
✍ Scribed by A. A. Albanese; D. Jornet; A. Oliaro
- Publisher
- John Wiley and Sons
- Year
- 2011
- Tongue
- English
- Weight
- 196 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0025-584X
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✦ Synopsis
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 operator with suitable ultradifferentiable coefficients, and Σ is the characteristic set of P. The proof relies on some techniques developed in the study of pseudodifferential operators in the Beurling setting. Some applications are also investigated.