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Inertial manifolds with delay for retarded semilinear parabolic equations. (English) Zbl 1011.37046

Summary: We consider the system of parabolic equations with distributed delay. The existence of inertial manifolds with delay is proved. We prove that the system has finite number of determining modes and can be reproduced by a finite-dimensional system with concentrated delays.

MSC:

37L25 Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems
35B42 Inertial manifolds
35R10 Partial functional-differential equations
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