Abstract
A general triangular cross diffusion system given on a domain of arbitrary dimension n is considered. It will be shown that (L∞,L p) boundedness implies uniformly boundedness. The general result is then applied to several systems to obtain global existence. In some cases, the existence of a global attractor is also proven.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1645-1668 |
| Number of pages | 24 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 37 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2007 |
ASJC Scopus subject areas
- General Mathematics