The inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities (Q1344418)

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scientific article; zbMATH DE number 721771
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The inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities
scientific article; zbMATH DE number 721771

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    The inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities (English)
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    12 November 1995
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    The author gives sufficient conditions for the existence of inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities. The nonlinear operator arising in the inequality is a uniformly Lipschitz perturbation of a maximal monotone operator in a Hilbert space. The proof is based on the Yosida approximation method.
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    inertial manifolds
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    maximal monotone operator
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    Yosida approximation
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