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.

引用

页码：153 / 181

页数：29

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