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Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations

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Interacting Stochastic Systems

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.

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Chueshov, I., Scheutzow, M., Schmalfuß, B. (2005). Continuity Properties of Inertial Manifolds for Stochastic Retarded Semilinear Parabolic Equations. In: Deuschel, JD., Greven, A. (eds) Interacting Stochastic Systems. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-27110-4_16

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