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Volumn 31, Issue 4, 2003, Pages 2109-2135

Invariant manifolds for stochastic partial differential equations

Author keywords

Cocycles; Generalized fixed points; Invariant manifolds; Nonautonomous dynamical systems; Stochastic partial differential equations

Indexed keywords


EID: 0346961357     PISSN: 00911798     EISSN: None     Source Type: Journal    
DOI: 10.1214/aop/1068646380     Document Type: Article
Times cited : (244)

References (28)
  • 7
    • 0040657364 scopus 로고    scopus 로고
    • Center manifolds for infinite dimensional non-autonomous differential equations
    • CHICONE, C. and LATUSHKIN, Y. (1997). Center manifolds for infinite dimensional non-autonomous differential equations. J. Differential Equations 141 356-399.
    • (1997) J. Differential Equations , vol.141 , pp. 356-399
    • Chicone, C.1    Latushkin, Y.2
  • 8
    • 38149145802 scopus 로고
    • Smooth foliations for flows in Banach space
    • CHOW, S.-N., LU, K. and LIN, X.-B. (1991). Smooth foliations for flows in Banach space. J. Differential Equations 94 266-291.
    • (1991) J. Differential Equations , vol.94 , pp. 266-291
    • Chow, S.-N.1    Lu, K.2    Lin, X.-B.3
  • 9
    • 0003990945 scopus 로고    scopus 로고
    • Construction of stochastic inertial manifolds using backward integration
    • DA PRATO, G. and DEBUSSCHE, A. (1996). Construction of stochastic inertial manifolds using backward integration. Stochastics Stochastics Rep. 59 305-324.
    • (1996) Stochastics Stochastics Rep. , vol.59 , pp. 305-324
    • Da Prato, G.1    Debussche, A.2
  • 12
    • 33748854567 scopus 로고    scopus 로고
    • Smooth stable and unstable manifolds for stochastic partial differential equations
    • To appear
    • DUAN, J., LU, K. and SCHMALFUSS, B. (2003). Smooth stable and unstable manifolds for stochastic partial differential equations. J. Dynamics Differential Equations. To appear.
    • (2003) J. Dynamics Differential Equations
    • Duan, J.1    Lu, K.2    Schmalfuss, B.3
  • 13
    • 21344433595 scopus 로고
    • Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems
    • GIRYA, T. V. and CHUESHOV, I. D. (1995). Inertial manifolds and stationary measures for stochastically perturbed dissipative dynamical systems. Sb. Math. 186 29-45.
    • (1995) Sb. Math. , vol.186 , pp. 29-45
    • Girya, T.V.1    Chueshov, I.D.2
  • 14
    • 0000962873 scopus 로고
    • Sur l'iteration et les solutions asymptotiques des equations differentielles
    • HADAMARD, J. (1901). Sur l'iteration et les solutions asymptotiques des equations differentielles. Bull. Soc. Math. France 29 224-228.
    • (1901) Bull. Soc. Math. France , vol.29 , pp. 224-228
    • Hadamard, J.1
  • 16
    • 0347348626 scopus 로고    scopus 로고
    • Pullback attracting inertial manifolds for nonautonomous dynamical systems
    • KOKSCH, N. and SIEGMUND, S. (2002). Pullback attracting inertial manifolds for nonautonomous dynamical systems. J. Dynamics Differential Equations 14 889-941.
    • (2002) J. Dynamics Differential Equations , vol.14 , pp. 889-941
    • Koksch, N.1    Siegmund, S.2
  • 19
    • 0033455085 scopus 로고    scopus 로고
    • The stable manifold theorem for stochastic differential equations
    • MOHAMMED, S.-E. A. and SCHEUTZOW, M. K. R. (1999). The stable manifold theorem for stochastic differential equations. Ann. Probab. 27 615-652.
    • (1999) Ann. Probab. , vol.27 , pp. 615-652
    • Mohammed, S.-E.A.1    Scheutzow, M.K.R.2
  • 21
    • 0001027322 scopus 로고
    • Über Stabilität und asymptotisches Verhalten der Integrale von Differentialgleichungssystemen
    • PERRON, O. (1928). Über Stabilität und asymptotisches Verhalten der Integrale von Differentialgleichungssystemen. Math. Z. 29 129-160.
    • (1928) Math. Z. , vol.29 , pp. 129-160
    • Perron, O.1
  • 22
    • 0000320029 scopus 로고
    • Characteristic exponents and invariant manifolds in Hilbert spaces
    • RUELLE, D. (1982). Characteristic exponents and invariant manifolds in Hilbert spaces. Ann. of Math. 115 243-290.
    • (1982) Ann. of Math. , vol.115 , pp. 243-290
    • Ruelle, D.1
  • 23
    • 0031530247 scopus 로고    scopus 로고
    • The random attractor of the stochastic Lorenz system
    • SCHMALFUSS, B. (1997). The random attractor of the stochastic Lorenz system. Z. Angew. Math. Phys. 48 951-975.
    • (1997) Z. Angew. Math. Phys. , vol.48 , pp. 951-975
    • Schmalfuss, B.1
  • 24
    • 0013296843 scopus 로고    scopus 로고
    • A random fixed point theorem and the random graph transformation
    • SCHMALFUSS, B. (1998). A random fixed point theorem and the random graph transformation. J. Math. Anal. Appl. 225 91-113.
    • (1998) J. Math. Anal. Appl. , vol.225 , pp. 91-113
    • Schmalfuss, B.1
  • 25
    • 0037867532 scopus 로고    scopus 로고
    • Attractors for the non-autonomous dynamical systems
    • B. Fiedler, K. Gröger and J. Sprekels, eds. World Scientific, Singapore
    • SCHMALFUSS, B. (2000). Attractors for the non-autonomous dynamical systems. In Proceedings of the International Conference on Differential Equations (B. Fiedler, K. Gröger and J. Sprekels, eds.) 1 684-690. World Scientific, Singapore.
    • (2000) Proceedings of the International Conference on Differential Equations , vol.1 , pp. 684-690
    • Schmalfuss, B.1
  • 26
    • 84968510092 scopus 로고
    • Non-autonomous differential equations and dynamical systems
    • SELL, G. R. (1967). Non-autonomous differential equations and dynamical systems. J. Amer. Math. Soc. 127 241-283.
    • (1967) J. Amer. Math. Soc. , vol.127 , pp. 241-283
    • Sell, G.R.1
  • 28
    • 0011618959 scopus 로고
    • Linearization random dynamical systems
    • C. K. R. T. Jones, U. Kirchgraber and H. O. Walther, eds. Springer, Berlin
    • WANNER, T. (1995). Linearization random dynamical systems. In Expositions in Dynamical Systems (C. K. R. T. Jones, U. Kirchgraber and H. O. Walther, eds.) 203-269. Springer, Berlin.
    • (1995) Expositions in Dynamical Systems , pp. 203-269
    • Wanner, T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.