✦ LIBER ✦
Pointwise a priori bounds for a strongly coupled system of reaction–diffusion equations with a balance law
✍ Scribed by Jacob Isaac Kanel; Mokhtar Kirane
- Publisher
- John Wiley and Sons
- Year
- 1998
- Tongue
- English
- Weight
- 89 KB
- Volume
- 21
- Category
- Article
- ISSN
- 0170-4214
No coin nor oath required. For personal study only.
✦ Synopsis
We consider a reaction-diffusion system with a full matrix of diffusion coefficients satisfying a balance law on a bounded domain with no-flux boundary conditions. We demonstrate that global solutions exist for polynomial reaction terms provided some conditions on the diffusion coefficients are satisfied. The proof makes use of comparison results and Solonnikov's estimates concerning linear parabolic equations in Banach spaces.
1998 B. G. Teubner Stuttgart-John Wiley & Sons, Ltd.