The inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities
type: Item
instance of: scholarly article
title: The inertial manifolds of infinite-dimensional dynamical systems governed by a class of nonlinear parabolic variational inequalities
zbMATH Open document ID: 0824.35066
author: Yi Zhao
published in: Science in China. Series A
publication date: 1995-11-12T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 35K85
Mathematics Subject Classification ID: 47H05
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 721771
zbMATH Keywords: inertial manifolds
zbMATH Keywords: maximal monotone operator
zbMATH Keywords: Yosida approximation
reviewed by: Pavol Quittner
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 721771