Komatsu类紧李群上向量场的全局性质

IF 0.7 3区数学 Q2 MATHEMATICS

Zeitschrift fur Analysis und ihre Anwendungen Pub Date : 2019-10-02 DOI:10.4171/ZAA/1691

A. Kirilov, Wagner Augusto Almeida de Moraes, Michael Ruzhansky

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引用次数: 1

摘要

本文完整地刻画了紧李群上常系数向量场在Komatsu (Roumieu型和Beurling型)意义上的整体亚椭圆性和整体可解性。我们还分析了低阶扰动对保持这些性质的影响。

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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Global Properties of Vector Fields on Compact Lie Groups in Komatsu Classes

In this paper we characterize completely the global hypoellipticity and global solvability in the sense of Komatsu (of Roumieu and Beurling types) of constant-coefficients vector fields on compact Lie groups. We also analyze the influence of perturbations by lower order terms in the preservation of these properties.

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来源期刊

Zeitschrift fur Analysis und ihre Anwendungen 数学-数学

CiteScore

1.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Analysis and its Applications aims at disseminating theoretical knowledge in the field of analysis and, at the same time, cultivating and extending its applications. To this end, it publishes research articles on differential equations and variational problems, functional analysis and operator theory together with their theoretical foundations and their applications – within mathematics, physics and other disciplines of the exact sciences.