Positive Steady-state Solutions of a Non-linear Reaction–Diffusion System
✍ Scribed by Hongwei Chen
- Publisher
- John Wiley and Sons
- Year
- 1997
- Tongue
- English
- Weight
- 245 KB
- Volume
- 20
- Category
- Article
- ISSN
- 0170-4214
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✦ Synopsis
Communicated by M. Renardy
The steady-state problem of the non-linear reaction-diffusion system
is considered. The existence of positive steady-solutions is established by using a fixed point theorem in ordered Banach space. The uniqueness of ordered positive steady-state solutions and an application to the associated reaction-diffusion system are presented.
📜 SIMILAR VOLUMES
where L1, is a smooth bounded domain, f and g are smooth functions which are positive when the argument is positive, and u (x)'0 satisfies some smooth and compatibility conditions to guarantee the classical solution u(x, t) exists. We first obtain some existence and non-existence results for the cor
We obtain in this paper the global boundedness of solutions to a Fujita-type reaction-diffusion system. This global boundedness results from diffusion effect, homogeneous Dirichlet boundary value conditions and appropriate reactions.