Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations

Igor Chueshov (), Michael Scheutzow () and Björn Schmalfuß ()
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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

A chapter in Interacting Stochastic Systems, 2005, pp 353-375 from Springer

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.

Keywords: inertial manifold; stochastic PDE with delay; perfect cocycle; inertial form; stochastic convolution (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-27110-9_16

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DOI: 10.1007/3-540-27110-4_16

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