论全球$$C^\infty$$次椭圆超微分伪微分算子低阶项扰动的超微分正则性

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2023-12-29 DOI:10.1007/s00041-023-10057-9

Igor Ambo Ferra, Gerson Petronilho

引用次数: 0

摘要

我们证明了一类定义在环(\mathbb {T}^{m+n}\) 上的超微分类伪微分算子的({\mathcal {M}}\)正则性，它们在全局上是$C^\{infty }$ hypoelliptic的。同样的性质也适用于这些算子的某些低阶扰动。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Ultradifferentiable Regularity of Perturbations by Lower Order Terms of Globally $$C^\infty$$ Hypoelliptic Ultradifferentiable Pseudodifferential Operators

We prove ${\mathcal {M}}$-regularity for a class of pseudodifferential operators in ultradifferentiable classes defined on the torus $\mathbb {T}^{m+n}$ which are globally $C^{\infty }$ hypoelliptic. The same property is also valid for certain perturbations of these operators by lower order terms.

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.