From point dissipative to compact dissipative - Addendum to "some counterexamples in dissipative systems"

Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis

Volumn 14, Issue 1, 2007, Pages 147-164

  Cholewa, J W ^a   Hale, J K ^b  

^a UNIVERSITY OF SILESIA   (Poland)

^b GEORGIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

Asymptotically smooth maps; Attractors; Dissipativeness

Indexed keywords

EID: 34247232210     PISSN: 12013390     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (9)

1. J. W. Cholewa, T. Dlotko, Asymptotic Behavior of Abstract Parabolic Problems, Cambridge University Press, Cambridge, 2000.
2. J. W. Cholewa, J. K. Hale, Some counterexamples in dissipative systems. Dynam. Contin. Discrete Impuls. Systems, 7, (2000) 159-176.
3. G. Cooperman, α-condensing Maps and Dissipative Systems. Ph.D. Thesis, Brown University, Providence, R.I., 1978.
4. J. K. Hale, Asymptotic Behavior of Dissipative Systems, AMS, Providence. R.I., 1988.
5. J. K. Hale, Dissipation and compact attractors, J. Dynam. Differential Equations, 18, (2006) 485-523.
6. O. Ladyzenskaya, Attractors for Semigroups and Evolution Equations, Cambridge University Press, Cambridge, 1991.
7. P. Magal, X.-Q. Zhao, Global attractors and steady states for uniformly persistent dynamical systems, SIAM J. Math. Anal. 37, (2005) 251-275.
8. P. Massatt, Stability and fixed points of point dissipative systems. J. Differential Equations, 40, (1981) 217-231.
9. G. R. Sell, Y. Yon, Dynamics of Evolutionary Equations, Springer, New York, 2000.