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Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations

In: Interacting Stochastic Systems

Author

Listed:
  • Igor Chueshov

    (Kharkov University, Department of Mechanics and Mathematics)

  • Michael Scheutzow

    (Technische Universität Berlin, Fakultät II - Mathematik und Naturwissenschaften, Institut für Mathematik, Sekr. MA 7-5)

  • Björn Schmalfuß

    (Universität Paderborn, Institut für Mathematik)

Abstract

Summary We study continuity properties of inertial manifolds for a class of random dynamical systems generated by retarded semilinear parabolic equations subjected to additive white noise. We focus on two cases: (i) the delay time tends to zero and (ii) the intensity of the noise becomes small.

Suggested Citation

  • Igor Chueshov & Michael Scheutzow & Björn Schmalfuß, 2005. "Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations," Springer Books, in: Jean-Dominique Deuschel & Andreas Greven (ed.), Interacting Stochastic Systems, pages 353-375, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-27110-9_16
    DOI: 10.1007/3-540-27110-4_16
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