✦ LIBER ✦
Exponential Dichotomies in Intermediate Spaces with Applications to a Diffusively Perturbed Predator-Prey Model
✍ Scribed by X.B. Lin
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 850 KB
- Volume
- 108
- Category
- Article
- ISSN
- 0022-0396
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✦ Synopsis
Intermediate spaces are useful for obtaining maximal regularity when studying reaction-diffusion equations. We give a definition of exponential dichotomies in these spaces. Roughness of the exponential dichotomies and other basic properties are also proved. We then use these notions to investigate the stability of a periodic orbit in a predator-prey model studied by Conway and Smoller when diffusion terms are added. 1994 Academic Press. Inc.