Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 719-730 |
| Number of pages | 12 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 10 |
| Issue number | 3 |
| Publication status | Published - 2004 Apr |
Keywords
- Apriori estimates
- Cross-diffusion
- Global existence
- Self-diffusion
- Strongly-coupled
ASJC Scopus subject areas
- Mathematics(all)
- Discrete Mathematics and Combinatorics
- Applied Mathematics
- Analysis