Rearrangement and the weighted logarithmic Sobolev inequality

IF 1 4区数学

Applied Mathematics-A Journal of Chinese Universities Series B Pub Date : 2021-06-18 DOI:10.1007/s11766-021-3755-z

Ming-hong Jiang, Jian-miao Ruan, Xiang-rong Zhu

引用次数: 0

Abstract

Here we consider some weighted logarithmic Sobolev inequalities which can be used in the theory of singular Riemannian manifolds. We give the necessary and sufficient conditions such that the 1-dimension weighted logarithmic Sobolev inequality is true and obtain a new estimate on the entropy.

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重排与加权对数Sobolev不等式

本文考虑了可用于奇异黎曼流形理论的一些加权对数Sobolev不等式。给出了一维加权对数Sobolev不等式成立的充分必要条件，并对熵进行了新的估计。

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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来源期刊

Applied Mathematics-A Journal of Chinese Universities Series B MATHEMATICS, APPLIED-

自引率

10.00%

发文量

期刊介绍： Applied Mathematics promotes the integration of mathematics with other scientific disciplines, expanding its fields of study and promoting the development of relevant interdisciplinary subjects. The journal mainly publishes original research papers that apply mathematical concepts, theories and methods to other subjects such as physics, chemistry, biology, information science, energy, environmental science, economics, and finance. In addition, it also reports the latest developments and trends in which mathematics interacts with other disciplines. Readers include professors and students, professionals in applied mathematics, and engineers at research institutes and in industry. Applied Mathematics - A Journal of Chinese Universities has been an English-language quarterly since 1993. The English edition, abbreviated as Series B, has different contents than this Chinese edition, Series A.