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

Y. S. Choi, Roger Lui, Yoshio Yamada

    研究成果: Article査読

    82 被引用数 (Scopus)

    抄録

    This paper is a continuation of [3] by the same authors to study the problem of global existence of strong solutions for the Shigesada-Kawasaki-Teramoto model. We shall prove global existence of strong solutions assuming that there are self- and cross-diffusions in the first species and there is no cross-diffusion in the second species. If self-diffusion is also present in the second species, then our result requires that the space dimension be less than 6.

    本文言語English
    ページ(範囲)719-730
    ページ数12
    ジャーナルDiscrete and Continuous Dynamical Systems
    10
    3
    出版ステータスPublished - 2004 4

    ASJC Scopus subject areas

    • Mathematics(all)
    • Discrete Mathematics and Combinatorics
    • Applied Mathematics
    • Analysis

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