ESTIMATES OF DIMENSION OF ATTRACTORS OF REACTION-DIFFUSION EQUATIONS IN THE NON-DIFFERENTIABLE CASE

Authors
BALIBREA F VALERO J
Citation
F. Balibrea et J. Valero, ESTIMATES OF DIMENSION OF ATTRACTORS OF REACTION-DIFFUSION EQUATIONS IN THE NON-DIFFERENTIABLE CASE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 325(7), 1997, pp. 759-764
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
325
Issue
7
Year of publication
1997
Pages
759 - 764
Database
ISI
SICI code
0764-4442(1997)325:7<759:EODOAO>2.0.ZU;2-V
Abstract
We improve a general theorem of O. A. Ladyzhenskaya on the dimension o f compact invariant sets in Hilbert spaces. and use it to prove that t he dimension of global compact attractors of some differential inclusi ons and reaction-diffusion equations are finite.