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