EXPONENTIAL DICHOTOMIES IN INTERMEDIATE SPACES WITH APPLICATIONS TO A DIFFUSIVELY PERTURBED PREDATOR-PREY MODEL

[摘要] 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. (C) 1994 Academic Press, Inc.

[发布日期] 1994-02-01