Global existence of weak solutions to a Keller-Segel model with L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document} initial data

Aqel Fatima; Taourirte Laila; Alaa Nour Eddine

首页> 外文期刊>Annali Dell Universita di Ferrara, Sezione VII. Scienze Matematiche >Global existence of weak solutions to a Keller-Segel model with L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document} initial data

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Global existence of weak solutions to a Keller-Segel model with L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document} initial data

机译：Global existence of weak solutions to a Keller-Segel model with L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document} initial data

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Abstract In this work, we analyze the global existence for the Keller-Segel model with initial data only in L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document}. Classical techniques to prove global existence that are based on estimates in L∞documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^{infty } $$end{document} cannot be applied due to the lack of regularity, and a new approach must be considered to overcome these difficulties. Finally, we provide an example of non-existence of solution in the case where the initial data is only a bounded Radon measure.

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来源
《Annali Dell Universita di Ferrara, Sezione VII. Scienze Matematiche》 |2023年第1期|59-79|共21页
作者
Aqel Fatima; Taourirte Laila; Alaa Nour Eddine;
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作者单位

Hassan First University of Settat;

Ibn Zohr University;

University Cadi Ayyad;

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正文语种英语
中图分类数学;
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Keller-Segel; Chemotaxis; “j” technique; L1documentclass12pt{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$$L^1$$end{document} initial data; Uniform integrability; 35D30; 35B45; 35K55; 35K57;

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