Open AccessAttractor of reaction-diffusion equations in Banach spaces
Author(s) -
José Valero
Publication year - 2001
Publication title -
applied general topology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.638
H-Index - 13
eISSN - 1989-4147
pISSN - 1576-9402
DOI - 10.4995/agt.2001.3017
Subject(s) - attractor , mathematics , banach space , reaction–diffusion system , dissipative system , phase space , dimension (graph theory) , space (punctuation) , mathematical analysis , pure mathematics , fractal dimension , diffusion , fractal , physics , thermodynamics , philosophy , linguistics
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