On Ultradifferentiable Regularity of Perturbations by Lower Order Terms of Globally C∞ Hypoelliptic Ultradifferentiable Pseudodifferential Operators

被引：0

作者：

Ferra, Igor Ambo ^{[1
]}

Petronilho, Gerson ^{[2
]}

机构：

[1] Univ Fed ABC, Ctr Matemat Computacao & Cognicao, Alameda Univ s-n,Bairro Anchieta, BR-09606045 Sao Bernardo Do Campo, SP, Brazil

[2] Univ Fed Sao Carlos, Dept Matemat, Sao Carlos, SP, Brazil

来源：

JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS | 2024年 / 30卷 / 01期

基金：

巴西圣保罗研究基金会;

关键词：

Ultradifferentiable pseudodifferential operators; Global hypoellipticity; Global hypoellipticity with loss of derivatives; Lower order perturbations;

D O I：

10.1007/s00041-023-10057-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove M-regularity for a class of pseudodifferential operators in ultradifferentiable classes defined on the torus Tm+n which are globally C-infinity hypoelliptic. The same property is also valid for certain perturbations of these operators by lower order terms.

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页数：21

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