A class of globally controllable semilinear heat equations with superlinear terms
type: Item
instance of: scholarly article
title: A class of globally controllable semilinear heat equations with superlinear terms
zbMATH Open document ID: 0951.35062
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-08-28T00:00:00Z
review text: The author proves global approximate controllability in \(L^2\) norm for a class of semilinear heat equations with superlinear terms in several space dimensions. The proof is based on the idea of suppressing the effect of nonlinearity by applying the actual control only for an asymptotically short period in time. Certain a priori estimates for the corresponding linear problem are also needed.
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 93B05
zbMATH DE Number: 1423634
zbMATH Keywords: global approximate controllability
author: Alexander Khapalov
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6669
OpenAlex ID: W2065156924
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DOI: 10.1006/JMAA.1999.6669
description: scientific article; zbMATH DE number 1423634