Abstract
We consider a strongly-coupled nonlinear parabolic system which arises from population dynamics. The global existence of classical solutions is established when the space dimension is two and one of the cross-diffusion pressures is zero.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 193-203 |
| Number of pages | 11 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 4 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1998 |
Keywords
- A priori estimates
- Cross-diffusion
- Global existence