Convergence and approximation of semigroups of Lipschitz operators
type: Item
instance of: scholarly article
title: Convergence and approximation of semigroups of Lipschitz operators
zbMATH Open document ID: 1078.47023
author: Yoshikazu Kobayashi
author: Naoki Tanaka
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2005-05-04T00:00:00Z
review text: The authors give a strong convergence theorem for the semigroups of Lipschitz operators generated by a given sequence of infinitesimal generators and an approximation theorem for a semigroup of Lipschitz operators generated by a sequence of descrete semigroups. These theorems are applied to a semi-discrete approximation problem for a quasi-linear wave equation with damping and a finite difference method for a quasi-linear equation of Kirchhoff type.
reviewed by: Sotiris K. Ntouyas
Mathematics Subject Classification ID: 47H20
Mathematics Subject Classification ID: 47N40
zbMATH DE Number: 2165058
zbMATH Keywords: semigroups of Lipschitz operators
zbMATH Keywords: infinitesimal generator
zbMATH Keywords: strong convergence
MaRDI profile type: Publication
full work available at URL: j.na.2005.01.040
OpenAlex ID: W2055029937
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DOI: 10.1016/J.NA.2005.01.040
description: scientific article; zbMATH DE number 2165058