| Title:
|
A modified strong squeezing property and the existence of inertial manifolds of semiflows (English) |
| Author:
|
Koksch, Norbert |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
36 |
| Issue:
|
5 |
| Year:
|
2000 |
| Pages:
|
477-486 |
| . |
| Category:
|
math |
| . |
| MSC:
|
34C30 |
| MSC:
|
34G20 |
| MSC:
|
35B42 |
| MSC:
|
35K90 |
| MSC:
|
37D10 |
| MSC:
|
37L25 |
| idZBL:
|
Zbl 1072.37053 |
| idMR:
|
MR1822817 |
| . |
| Date available:
|
2008-06-06T22:27:13Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107762 |
| . |
| Reference:
|
1. P. Constantin C. Foias B. Nicolaenko, and R. Temam: Nouveaux resultats sur les variétés inertielles pour les équations différentielles dissipatives.(New results on the inertial manifolds for dissipative differential equations), C. R. Acad. Sci., Paris, Ser. I 302 (1986), 375–378. MR 0838393 |
| Reference:
|
2. P. Constantin C. Foias B. Nicolaenko, and R. Temam: Integral manifolds and inertial manifolds for dissipative partial differential equations.Applied Mathematical Sciences, vol. 70, Springer, 1989. MR 0966192 |
| Reference:
|
3. C. Foias B. Nicolaenko G.R. Sell, and R. Temam: Variétés inertielles pour l’équation de Kuramoto-Sivashinsky.(Inertial manifolds for the Kuramoto-Sivashinsky equation), C. R. Acad. Sci., Paris, Ser. I 301 (1985), 285–288. MR 0803219 |
| Reference:
|
4. C. Foias G.R. Sell, and R. Temam: Variétés inertielles des équations différentielles dissipatives.(Inertial manifolds for dissipative differential equations), C. R. Acad. Sci., Paris, Ser. I 301 (1985), 139–141. MR 0801946 |
| Reference:
|
5. C. Foias G.R. Sell, and R. Temam: Inertial manifolds for nonlinear evolutionary equations.J. of Differential Equations 73 (1988), 309–353. MR 0943945 |
| Reference:
|
6. C. Foias G.R. Sell, and E.S. Titi: Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations.J. of Dynamics and Differential Equations 1 (1989), no. 2, 199–244. MR 1010966 |
| Reference:
|
7. D. Henry: Geometric theory of semilinear parabolic equations.Lecture Notes in Mathematics, vol. 850, Springer, 1981. Zbl 0456.35001, MR 0610244 |
| Reference:
|
8. N. Koksch: A comparison principle approach to the existence and smootheness of integral manifolds.Habilitation, Fak. Mathematik und Naturwissenschaften der TU Dresden, 1999. |
| Reference:
|
9. M. Miklavčič: Applied functional analysis and partial differential equations.World Scientific, Singnapur, New Jersey, London, Hong Kong, 1998. MR 1784426 |
| Reference:
|
10. H. Ninomiya: Some remarks on inertial manifolds.J. Math. Kyoto Univ. 32 (1992), no. 4, 667–688. Zbl 0815.35037, MR 1194108 |
| Reference:
|
11. J.C. Robinson: Inertial manifolds and the cone condition.Dyn. Syst. Appl. 2 (1993), no. 3, 311–330. Zbl 0787.34036, MR 1233854 |
| Reference:
|
12. J.C. Robinson: The asymptotic completeness of inertial manifolds.Nonlinearity 9 (1996), 1325–1340. Zbl 0898.35016, MR 1416479 |
| Reference:
|
13. A.V. Romanov: Sharp estimates of the dimension of inertial manifolds for nonlinear parabolic equations.Russ. Acad. Sci., Izv., Math. 43 (1994), no. 1, 31–47. MR 1243350 |
| Reference:
|
14. R. Temam: Infinite-dimensional dynamical systems in mechanics and physics.2nd ed., Applied Mathematical Sciences, vol. 68, Springer, New York, 1997. MR 1441312 |
| . |
