Some aspects of the asymptotic behaviour of the solutions of the semilinear heat equation in vanishing time and approximate controllability
type: Item
instance of: scholarly article
title: Some aspects of the asymptotic behaviour of the solutions of the semilinear heat equation in vanishing time and approximate controllability
zbMATH Open document ID: 0846.35059
published in: Journal of Mathematical Analysis and Applications
publication date: 1995-01-01T00:00:00Z
review text: The author discusses the controllability in \(L^2(\Omega)\) of the semilinear heat equation with nonlinearity in \(u\) and \(\nabla u\). He approaches the semilinear problem as a disturbed version of the linear case which possesses a desirable controllability property and studies the asymptotic behavior in vanishing time. In particular, the static distributed and time-dependent lumped controls are studied.
Mathematics Subject Classification ID: 35K55
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 859238
zbMATH Keywords: controllability
zbMATH Keywords: semilinear heat equation
author: Alexander Khapalov
reviewed by: J.Schoenenberger-Deuel
MaRDI profile type: Publication
full work available at URL: jmaa.1995.1333
OpenAlex ID: W2114304162
DOI: 10.1006/JMAA.1995.1333
description: scientific article; zbMATH DE number 859238