Abstract
We use a local energy method to study the spatial localization of the supports of the solutions of a reaction-diffusion system with nonlinear diffusion and a general reaction term. We establish finite speed of propagation and the existence of waiting times under a set of weak assumptions on the structural form of the system. These assumptions allow for additive and multiplicative reaction terms and space-and time-dependence of the coefficients, as well as a divergence-free convection term.
| Original language | English |
|---|---|
| Pages (from-to) | 419-441 |
| Number of pages | 23 |
| Journal | Annales de la Faculté des Sciences de Toulouse. Série VI |
| Volume | 7 |
| Issue number | 3 |
| Publication status | Published - 1998 |