Regularity of partial differential operators in ultradifferentiable spaces and Wigner type transforms

被引：20

作者：

Boiti, Chiara ^{[1
]}

Jornet, David ^{[2
]}

Oliaro, Alessandro ^{[3
]}

机构：

[1] Univ Ferrara, Dipartimento Matemat & Informat, Via Machiavelli 30, I-44121 Ferrara, Italy

[2] Univ Politecn Valencia, IUMPA, Camino Vera S-N, E-46071 Valencia, Spain

[3] Univ Turin, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2017年 / 446卷 / 01期

关键词：

Regularity; Linear partial differential operators with polynomial coefficients; Schwartz spaces; Wigner transform;

D O I：

10.1016/j.jmaa.2016.09.029

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the behaviour of linear partial differential operators with polynomial coefficients via a Wigner type transform. In particular, we obtain some results of regularity in the Schwartz space S and in the space S-omega as introduced by Bjorck for weight functions omega. Several examples are discussed in this new setting. (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：920 / 944

页数：25

共 23 条

[1] Quasianalytic Wave Front Sets for Solutions of Linear Partial Differential Operators [J].