Estimates of dimension of attractors of reaction-diffusion equations in the non-differentiable case;Estimations de la dimension des attracteurs des équations de réaction-diffusion dans le cas non-différentiel

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 325, Issue 7, 1997, Pages 759-764

  Balibrea, Francisco ^a   Valero, José ^b  

^a UNIVERSITY OF MURCIA   (Spain)

^b Fundacion Univ San Pablo CEU   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031256754     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)80056-0     Document Type: Article

References (9)

1. [1] Babin A. V. and Vishik V. I., 1985. Attracteurs maximaux dans les équations aux dérivées partielles, in Nonlinear Partial Differential Equations and their Applications (ed. H. Brézis and J.-L. Lions), Vol. 7, Pitman, pp. 11-34.
2. [2] Balibrea F. and Valero J. On dimension of attractors of differential inclusions and reaction-diffusion equations (submitted to Continuous and Discrete Dynamical Systems).
3. [3] Barbu V., 1976. Nonlinear Semigroups and Differential Equations in Banach spaces, Editura Academiei, Bucuresti.
4. [4] Constantin P., Foias C. and Temam R., 1985. Attractors representing turbulent flows, Memoirs A.M.S., V. 53, N. 314, 67 pp.
5. [5] Hale J. K., 1988. Asymptotic Behaviour of Dissipative Systems, Mathematical Surveys and Monographs, V. 25, American Mathematical Society, Providence.
6. [6] Ladyzhenskaya O. A., 1990. Some comments to my papers on the theory of attractors for abstract semigroups, Zap. Nauchn. Sem. LOMI, 182, p. 102-112 (English translation in J. Soviet Math., 1992, 62, pp. 1789-1794).
7. [6] Ladyzhenskaya O. A., 1990. Some comments to my papers on the theory of attractors for abstract semigroups, Zap. Nauchn. Sem. LOMI, 182, p. 102-112 (English translation in J. Soviet Math., 1992, 62, pp. 1789-1794).
8. [7] Marion M., 1987. Attractors for reaction-diffusion equations: existence and estimate of their dimension, Appl. Anal., 25, pp. 101-147.
9. [8] Valero J. Attractors of differential inclusions generated by ω-dissipative operators, Preprint, Universidad de Murcia.