Attractor of reaction-diffusion equations in Banach spaces
Keywords:Attractor, Asymptotic, Behaviour, Reaction-diffusion equations, Fractal dimension
AbstractIn 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.
How to Cite
This journal is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike- 4.0 International License.