Exact controllability for semilinear parabolic equations with Neumann boundary conditions
type: Item
instance of: scholarly article
title: Exact controllability for semilinear parabolic equations with Neumann boundary conditions
zbMATH Open document ID: 0946.93007
DOI: 10.1007/BF02254698
author: Sang Moon Kim
author: Dongho Chae
author: O. Yu. Imanuvilov
published in: Journal of Dynamical and Control Systems
publication date: 2000-04-13T00:00:00Z
review text: Exact boundary controllability for parabolic equations with Neumann boundary conditions and various nonlinear perturbation terms is considered. After solving the linear case, the Schauder fixed point theorem gives the global null-controllability if the nonlinearity is of sublinear growth type. Similarly, the implicit function theorem gives the local exact controllability for the super-linear growth case.
Mathematics Subject Classification ID: 93B05
Mathematics Subject Classification ID: 35B37
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 93C20
zbMATH DE Number: 1431822
zbMATH Keywords: exact boundary controllability
zbMATH Keywords: parabolic equations
zbMATH Keywords: Neumann boundary conditions
zbMATH Keywords: nonlinear perturbation
reviewed by: Corneliu Marinov
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02254698
OpenAlex ID: W1972226535
description: scientific article; zbMATH DE number 1431822