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Approximate Inertial Manifolds of Strongly Damped Nonlinear Wave Equations
Authors:Zhengde Dai &  Boling Guo
Abstract:In this paper we consider a class of strongly damped nonlinear wave equations. By the transformation of unknown functions and decomposition of operators, we construct a family of approximate inertial manifolds, and obtain the estimate of orders of approximation of such manifolds to solution orbits.
Keywords:Approximate inertial manifolds                                                                                                strong damping                                                                                                nonlinear wave equation
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