Abstract
We consider a strongly coupled nonlinear parabolic system which arises from population dynamics in N-dimensional (N ≥ 1) domains. We establish global existence of classical solutions under certain restrictions on diffusion coefficients, self-diffusion coefficients and cross-diffusion coefficients for both species.
| Original language | English |
|---|---|
| Pages (from-to) | 185-192 |
| Number of pages | 8 |
| Journal | Discrete & Continuous Dynamical Systems |
| Volume | 12 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2005 |
Scopus Subject Areas
- Analysis
- Discrete Mathematics and Combinatorics
- Applied Mathematics
Keywords
- Cross-Diffusion
- Global Existence
- Nonlinear Parabolic System
- Population Dynamics
- Self-Diffusion
- Shigesada-Kawasaki-Teramoto Model