Attractor of reaction-diffusion equations in Banach spaces

José Valero

doi:10.4995/agt.2001.3017

Attractor of reaction-diffusion equations in Banach spaces

Authors

José Valero Universidad Cardenal Herrera CEU

DOI:

https://doi.org/10.4995/agt.2001.3017

Keywords:

Attractor, Asymptotic, Behaviour, Reaction-diffusion equations, Fractal dimension

Abstract

In this paper we prove first some abstract theorems on existence of global attractors for differential inclusions generated by w-dissipative operators. Then these results are applied to reaction-diffusion equations in which the Babach space L_pis used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L₂ are obtained.