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

Luis Alberto Fernández; Alexander Yuri Khapalov

ESAIM: Control, Optimisation and Calculus of Variations (2012)

- Volume: 18, Issue: 4, page 1207-1224
- ISSN: 1292-8119

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topFernández, Luis Alberto, and Khapalov, Alexander Yuri. "Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support." ESAIM: Control, Optimisation and Calculus of Variations 18.4 (2012): 1207-1224. <http://eudml.org/doc/272942>.

@article{Fernández2012,

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.},

author = {Fernández, Luis Alberto, Khapalov, Alexander Yuri},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {parabolic equation; approximate controllability; multiplicative controls; nonnegative locally distributed controls; static and mobile control supports},

language = {eng},

number = {4},

pages = {1207-1224},

publisher = {EDP-Sciences},

title = {Controllability properties for the one-dimensional Heat equation under multiplicative or nonnegative additive controls with local mobile support},

url = {http://eudml.org/doc/272942},

volume = {18},

year = {2012},

}

TY - JOUR

AU - Fernández, Luis Alberto

AU - Khapalov, Alexander Yuri

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2012

PB - EDP-Sciences

VL - 18

IS - 4

SP - 1207

EP - 1224

AB - 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.

LA - eng

KW - parabolic equation; approximate controllability; multiplicative controls; nonnegative locally distributed controls; static and mobile control supports

UR - http://eudml.org/doc/272942

ER -

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