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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