Existence of global solutions for the Shigesada-Kawasaki-Teramoto model with-weak cross-diffusion

被引：0
|
作者：
Choi, YS [1 ]
Lui, R
Yamada, Y
机构：
[1] Univ Connecticut, Dept Math, Storrs, CT 06269 USA
[2] Worcester Polytech Inst, Dept Math Sci, Worcester, MA 01609 USA
[3] Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年 / 9卷 / 05期
关键词：
self-diffusion; a priori estimates; global existence;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The Shigesada-Kawasaki-Teramoto model is a generalization of the classical Lotka-Volterra competition model for which the competing species undergo both diffusion, self-diffusion and cross-diffusion. Very few mathematical results are known for this model, especially in higher space dimensions. In this paper, we shall prove global existence of strong solutions in any space dimension for this model when the cross-diffusion coefficient in the first species is sufficiently small and when there is no self-diffusion or cross-diffusion in the second species.
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页码：1193 / 1200
页数：8
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