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.
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