A functional framework for the Keller–Segel system: Logarithmic Hardy–Littlewood–Sobolev and related spectral gap inequalities

Author:

Dolbeault Jean,Campos Juan

Publisher

Elsevier BV

Subject

General Mathematics

Reference12 articles.

1. Sharp Sobolev inequalities on the sphere and the Moser–Trudinger inequality;Beckner;Ann. of Math. (2),1993

2. Asymptotic behaviour for small mass in the two-dimensional parabolic–elliptic Keller–Segel model;Blanchet;J. Math. Anal. Appl.,2010

3. Two-dimensional Keller–Segel model: optimal critical mass and qualitative properties of the solutions;Blanchet;Electron. J. Differential Equations,2006

4. Refined asymptotics for the subcritical Keller–Segel system and related functional inequalities;Calvez;Proc. Amer. Math. Soc.,2012

5. The parabolic–parabolic Keller–Segel model in R2;Calvez;Commun. Math. Sci.,2008

Cited by 12 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Existence and Stability of Infinite Time Blow-Up in the Keller–Segel System;Archive for Rational Mechanics and Analysis;2024-06-18

2. Mean field limit and quantitative estimates with singular attractive kernels;Duke Mathematical Journal;2023-09-15

3. Stationary solutions to the Keller–Segel equation on curved planes;Proceedings of the Royal Society of Edinburgh: Section A Mathematics;2022-01-31

4. Logarithmic estimates for mean-field models in dimension two and the Schrödinger–Poisson system;Comptes Rendus. Mathématique;2022-01-04

5. Generalized Logarithmic Hardy–Littlewood–Sobolev Inequality;International Mathematics Research Notices;2020-01-07

同舟云学术

1.学者识别学者识别

2.学术分析学术分析

3.人才评估人才评估

"同舟云学术"是以全球学者为主线,采集、加工和组织学术论文而形成的新型学术文献查询和分析系统,可以对全球学者进行文献检索和人才价值评估。用户可以通过关注某些学科领域的顶尖人物而持续追踪该领域的学科进展和研究前沿。经过近期的数据扩容,当前同舟云学术共收录了国内外主流学术期刊6万余种,收集的期刊论文及会议论文总量共计约1.5亿篇,并以每天添加12000余篇中外论文的速度递增。我们也可以为用户提供个性化、定制化的学者数据。欢迎来电咨询!咨询电话:010-8811{复制后删除}0370

www.globalauthorid.com

TOP

Copyright © 2019-2024 北京同舟云网络信息技术有限公司
京公网安备11010802033243号  京ICP备18003416号-3