Positive stabilization of a parabolic equation by controls localized on a curve
type: Item
instance of: scholarly article
title: Positive stabilization of a parabolic equation by controls localized on a curve
zbMATH Open document ID: 1028.35057
DOI: 10.1016/S0022-247X(03)00454-2
author: Sebastian Aniţa
author: J-P Raymond
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-11-16T00:00:00Z
review text: The stabilization of the nonnegative solutions of a linear parabolic equation by controls localized on a curve is considered. The main results of the paper give a necessary and sufficient condition for the positive stabilizability in terms of the principal eigenvalue of a certain elliptic operator. In case of the positive stability, some feedback stabilizing controls are indicated.
reviewed by: Ruxandra Stavre
Mathematics Subject Classification ID: 35K20
Mathematics Subject Classification ID: 49J20
Mathematics Subject Classification ID: 93D15
zbMATH DE Number: 2003891
zbMATH Keywords: feedback stabilizing controls
zbMATH Keywords: Rayleigh's principle
MaRDI profile type: Publication
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full work available at URL: s0022-247x(03)00454-2
OpenAlex ID: W2005822421
description: scientific article; zbMATH DE number 2003891