Hausdorff dimension estimation for attractors of nonautonomous dynamical systems in unbounded domains: An example

Communications on Pure and Applied Mathematics

Volumn 53, Issue 5, 2000, Pages 647-665

  Chepyzhov, V V ^a   Efendiev, M A ^b  

^a INSTITUTE FOR INFORMATION TRANSMISSION PROBLEMS   (Russian Federation)

^b FREIE UNIVERSITÄT BERLIN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034394087     PISSN: 00103640     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0312(200005)53:5<647::aid-cpa5>3.0.co;2-%23     Document Type: Article

References (8)

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2. Babin, A. V.; Vishik, M. I. Attractors of partial differential evolution equations in an unbounded domain. Proc. Roy. Soc. Edinburgh Sect. A 116 (1990), no. 3-4, 221-243.
3. Babin, A. V.; Vishik, M. I. Attractors of evolution equations. Translated and revised from the 1989 Russian original by Babin. Studies in Mathematics and Its Applications, 25. North-Holland, Amsterdam, 1992.
4. Chepyzhov, V. V.; Vishik, M. I. Attractors of nonautonomous dynamical systems and their dimension. J. Math. Pures Appl. (9) 73 (1994), no. 3, 279-333.
5. Hale, J. K. Asymptotic behavior of dissipative systems. Mathematical Surveys and Monographs, 25. American Mathematical Society, Providence, R.I., 1988.
6. Haraux, A. Systèmes dynamiques dissipatifs et applications. Recherches en Mathématiques Appliquées, 17. Masson, Paris, 1991.
7. Lieb, E. H.; Thirring, W. E. Inequalities for the moments of the eigenvalues of Schrödinger equations and their relations to Sobolev inequalities, 269-303. Princeton University Press, Princeton, N.J., 1976.
8. Temam, R. Infinite-dimensional dynamical systems in mechanics and physics. Applied Mathematical Sciences, 68. Springer, New York-Berlin, 1988.