This paper is a continuation of  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.
|ジャーナル||Discrete and Continuous Dynamical Systems|
|出版ステータス||Published - 2004 4|
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Applied Mathematics