Attractor of reaction-diffusion equations in Banach spaces

[EN] 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 Lp is used as phase space. Finally, new results concerning the fractal dimension of the global attractor in the space L2 are obtained.Valero, J. (2001). Attractor of reaction-diffusion equations in Banach spaces. Applied General Topology. 2(1):77-98. doi:10.4995/agt.2001.3017.77982