Attractor of reaction-diffusion equations in Banach spaces

José Valero

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.
 

Keywords

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

Subject classification

35B40; 34B41;35K55; 35K57

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Esta revista se publica bajo una licencia de Creative Commons Reconocimiento-NoComercial-SinObraDerivada 4.0 Internacional.

Universitat Politècnica de València

e-ISSN: 1989-4147   https://doi.org/10.4995/agt