使用分数Sobolev空间和Besov空间的Gagliardo-Nirenberg型不等式

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0080

N. Dao

引用次数: 1

摘要

摘要我们的主要目的是利用分数齐次Sobolev空间和齐次Besov空间建立Gagliardo-Nirenberg型不等式。特别是，我们扩展了作者在先前研究中获得的一些结果。

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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Gagliardo-Nirenberg-type inequalities using fractional Sobolev spaces and Besov spaces

Abstract Our main purpose is to establish Gagliardo-Nirenberg-type inequalities using fractional homogeneous Sobolev spaces and homogeneous Besov spaces. In particular, we extend some of the results obtained by the authors in previous studies.

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.