Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
type: Item
instance of: scholarly article
title: Invariant sets for nonlinear evolution equations, Cauchy problems and periodic problems
zbMATH Open document ID: 1082.47045
DOI: 10.1155/S1085337504311073
author: Norimichi Hirano
author: Naoki Shioji
published in: Abstract and Applied Analysis
publication date: 2005-04-29T00:00:00Z
full work available at URL: https://eudml.org/doc/52154
review text: Some existence results are given for the initial value and periodic problem \(u'(t)+Au(t)\ni f(t,u(t))\) and \(u(t)\in K\) for \(0\leq t\leq T\). Here, \(K\) is a closed convex subset of a Hilbert space \(H\), \(A\) is a maximal monotone operator in \(H\) with \(\overline{D(A)}\neq K\), and \(f:[0,T]\times (K\cap V)\to H\) is a Carathéodory function (where \(V\) is a subspace of \(H\)).
reviewed by: Mihai Turinici
Mathematics Subject Classification ID: 47H06
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 35B10
zbMATH DE Number: 2163646
zbMATH Keywords: Banach space
zbMATH Keywords: \(m\)-accretive operator
zbMATH Keywords: semigroup
zbMATH Keywords: evolution equation
zbMATH Keywords: resolvent
zbMATH Keywords: Nagumo condition
zbMATH Keywords: initial value problem
zbMATH Keywords: periodic problem
zbMATH Keywords: Carathéodory function
MaRDI profile type: Publication
OpenAlex ID: W2072564108
description: scientific article; zbMATH DE number 2163646