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Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support

Abstract: We discuss several new results on nonnegative approximate controllability for the one-dimensional Heat equation governed by either multiplicative or nonnegative additive control, acting within a proper subset of the space domain at every moment of time. Our methods allow us to link these two types of controls to some extend. The main results include approximate controllability properties both for the static and mobile control supports.

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Autoría: Fernández L.A., Khapalov A.Y.,

Fuente: ESAIM - Control, Optimisation and Calculus of Variations, 2012, 18(4), 1207-1224

Editorial: EDP Sciences

Fecha de publicación: 01/03/2012

Nº de páginas: 18

Tipo de publicación: Artículo de Revista

DOI: 10.1051/cocv/2012004

ISSN: 1292-8119,1262-3377

Proyecto español: MTM2008-04206

Url de la publicación: https://doi.org/10.1051/cocv/2012004

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Autoría

LUIS ALBERTO FERNANDEZ FERNANDEZ

KHAPALOV, ALEXANDER YU

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