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Global existence of solutions for a nonlinearly perturbed Keller–Segel system in \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${\mathbb{R}}^2$$\end{document}
被引：0
作者：
Masaki Kurokiba
Takayoshi Ogawa
Futoshi Takahashi
机构：
[1] Fukuoka University,Department of Applied Mathematics
[2] Tohoku University,Mathematical Institute
[3] Osaka City University,Graduate School of Science
关键词：
Primary 35K15, 35K55, 35B40, 35M10;
Secondary 92C17;
Perturbed Keller–Segel system;
chemotaxis;
variational method;
D O I：
10.1007/s00033-008-8043-9
中图分类号：
学科分类号：
摘要：
We show the global existence of small solution to the perturbed Keller–Segel system of simplified version. Our system has a perturbed nonlinear term of worse sign, therefore the existence and uniqueness of solution is not really obvious. The local existence theorem is obtained by a variational observation for the elliptic part.
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页码：840 / 867
页数：27
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