On the action of pseudo-differential operators on Gevrey spaces

被引：0

作者：

Morisse, Baptiste ^{[1
]}

机构：

[1] Cardiff Univ, Sch Math, Cardiff, Wales

来源：

ASYMPTOTIC ANALYSIS | 2020年 / 117卷 / 1-2期

基金：

英国工程与自然科学研究理事会;

关键词：

Gevrey regularity; pseudo-differential operators; para-product;

D O I：

10.3233/ASY-191545

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we study the action of pseudo-differential operators on Gevrey spaces. We introduce classes of classical symbols with spatial Gevrey regularity. As the spatial Gevrey regularity of a symbol p(., xi) may depend on the frequency xi, the action of the associated pseudo-differential operator op(p) may induce a loss of regularity. The proof is based on a para-product decomposition.

引用

页码：27 / 42

页数：16

共 12 条

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[Anonymous], 2001, APPL MATH

[2]

Baptiste M., 2018, INDIANA U MATH J

[3]

Bedrossian J., 2016, ANN PDE, V2

[4]

Colombini F., ARXIV150803945V2