Non-linear stability analysis of higher order dissipative partial differential equations

Mathematical Physics Electronic Journal

Volumn 4, Issue , 1998, Pages 1-20

  Eckmann, J P ^a   Wayne, C E ^b,c  

^a UNIVERSITY OF GENEVA   (Switzerland)

^b Boston University   (United States)

^c BOSTON UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002662982     PISSN: 10866655     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (11)

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6. Gallay, Th.: A center-stable manifold theorem for differential equations in Banach spaces. Commun. Math. Phys. 152, 249-268 (1993).
7. Henry, D.: Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Mathematics, 840, Springer, Berlin (1981).
8. de la Llave, R., and C.E. Wayne: On Irwin's proof of the pseudostable manifold theorem. Math. Z. 219, 301-321 (1995).
9. G. Schneider: Diffusive stability of spatial periodic solutions of the Swift-Hohenberg equation. Comm. Math. Phys. 178, 679-702 (1996).
10. Wayne, C.E.: Invariant manifolds for parabolic partial differential equations on unbounded domains. Arch. Rat. Mech. Anal. 138, 279-306 (1997).
11. Wayne, C.E.: Invariant manifolds and the asymptotics of parabolic equations in cylindrical domains in book Proceedings of the first US/China Conference on Differential Equations, Hangzhou PR. International Press (1997).