Attractor of reaction-diffusion equations in Banach spaces

Valero, José ^[1]
1. [1] Universidad CEU Cardenal Herrera
  
  Universidad CEU Cardenal Herrera
  
  Valencia, España
Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 2, Nº. 1, 2001, págs. 77-98
Idioma: inglés
DOI: 10.4995/agt.2001.3017
Enlaces
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Resumen
- 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.