Convergence of difference approximation of nonlinear evolution equations
type: Item
instance of: scholarly article
title: Convergence of difference approximation of nonlinear evolution equations
zbMATH Open document ID: 0658.65080
author: Shinnosuke Oharu
published in: Mathematics and Computers in Simulation
publication date: 1987-01-01T00:00:00Z
review text: There has been a substantial development of the theory of nonlinear time- dependent evolution equations in Banach spaces. The results have been applied to a variety of problems of the approximation-solvability of nonlinear partial differential equations. This is a survey article which outlines recent work concerning the construction of mild solutions of such nonlinear evolution equations and various operator theoretic approaches to initial-boundary value problems for some typical nonlinear equations.
Mathematics Subject Classification ID: 65M12
Mathematics Subject Classification ID: 65L05
Mathematics Subject Classification ID: 35G10
Mathematics Subject Classification ID: 35K25
Mathematics Subject Classification ID: 34G20
Mathematics Subject Classification ID: 65J15
zbMATH DE Number: 4076505
zbMATH Keywords: convergence
zbMATH Keywords: difference approximations
zbMATH Keywords: nonlinear time-dependent evolution equations
zbMATH Keywords: Banach spaces
zbMATH Keywords: survey article
zbMATH Keywords: mild solutions
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4076505