Attractor of reaction-diffusion equations in Banach spaces

José Valero

Spain

Universidad Cardenal Herrera CEU

Submitted: 2014-05-27

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Accepted: 2014-05-27

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Published: 2001-04-01

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

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

Supporting agencies:

This research was not funded

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 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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