Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators

被引：18
|
作者：
Albanese, A. A. [1 ]
Jornet, D. [2 ]
Oliaro, A. [3 ]
机构：
[1] Univ Salento Lecce, Dipartimento Matemat E De Giorgi, I-73100 Lecce, Italy
[2] Univ Politecn Valencia, IUMPA, E-46022 Valencia, Spain
[3] Univ Turin, Dipartimento Matemat, I-10123 Turin, Italy
来源：
INTEGRAL EQUATIONS AND OPERATOR THEORY | 2010年 / 66卷 / 02期
关键词：
Quasianalytic weight function; wave front set; propagation of singularities; ULTRADIFFERENTIABLE FUNCTIONS; CONVOLUTION-OPERATORS; ULTRADISTRIBUTIONS;
D O I：
10.1007/s00020-010-1742-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 WF(*)(u) subset of WF(*)(Pu)boolean OR Sigma, u is an element of D'(Omega), where Omega is an open subset of R(n), P is a linear partial differential operator with coefficients in a suitable ultradifferentiable class, and Sigma is the characteristic set of P. Some applications are also investigated.
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页码：153 / 181
页数：29
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