Abstract
In the present paper, we introduce and study Beurling and Roumieu quasianalytic (and nonquasianalytic) wave front sets, WF *, of classical distributions. In particular, we have the following inclusion
where Ω is an open subset of \({\mathbb {R}^n}\), P is a linear partial differential operator with coefficients in a suitable ultradifferentiable class, and Σ is the characteristic set of P. Some applications are also investigated.
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The research of the authors was partially supported by MEC and FEDER, Project MTM2007-62643, and MEC, Project MTM2007-30904-E, and Conselleria d’Educació de la GVA, Ajuda complementaria ACOMP/2009/253.
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Albanese, A.A., Jornet, D. & Oliaro, A. Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators. Integr. Equ. Oper. Theory 66, 153–181 (2010). https://doi.org/10.1007/s00020-010-1742-6
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DOI: https://doi.org/10.1007/s00020-010-1742-6