# Exact null internal controllability for the heat equation on unbounded convex domains

ESAIM: Control, Optimisation and Calculus of Variations (2014)

- Volume: 20, Issue: 1, page 222-235
- ISSN: 1292-8119

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topBarbu, Viorel. "Exact null internal controllability for the heat equation on unbounded convex domains." ESAIM: Control, Optimisation and Calculus of Variations 20.1 (2014): 222-235. <http://eudml.org/doc/272944>.

@article{Barbu2014,

abstract = {The liner parabolic equation $\frac\{y\}\{t\}-\frac\{1\}\{2\}\,\mathbb \{D\}y+F\cdot y=\{\vec\{1\}\}_\{_0\}u$ ∂y ∂t − 1 2 Δy + F · ∇ y = 1 x1d4aa; 0 u with Neumann boundary condition on a convex open domain x1d4aa; ⊂ ℝd with smooth boundary is exactly null controllable on each finite interval if 𝒪0is an open subset of x1d4aa; which contains a suitable neighbourhood of the recession cone of $$ x1d4aa; . Here,F : ℝd → ℝd is a bounded, C1-continuous function, and F = ∇g, where g is convex and coercive.},

author = {Barbu, Viorel},

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

keywords = {parabolic equation; null controllability; convex set; Carleman inequality},

language = {eng},

number = {1},

pages = {222-235},

publisher = {EDP-Sciences},

title = {Exact null internal controllability for the heat equation on unbounded convex domains},

url = {http://eudml.org/doc/272944},

volume = {20},

year = {2014},

}

TY - JOUR

AU - Barbu, Viorel

TI - Exact null internal controllability for the heat equation on unbounded convex domains

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2014

PB - EDP-Sciences

VL - 20

IS - 1

SP - 222

EP - 235

AB - The liner parabolic equation $\frac{y}{t}-\frac{1}{2}\,\mathbb {D}y+F\cdot y={\vec{1}}_{_0}u$ ∂y ∂t − 1 2 Δy + F · ∇ y = 1 x1d4aa; 0 u with Neumann boundary condition on a convex open domain x1d4aa; ⊂ ℝd with smooth boundary is exactly null controllable on each finite interval if 𝒪0is an open subset of x1d4aa; which contains a suitable neighbourhood of the recession cone of $$ x1d4aa; . Here,F : ℝd → ℝd is a bounded, C1-continuous function, and F = ∇g, where g is convex and coercive.

LA - eng

KW - parabolic equation; null controllability; convex set; Carleman inequality

UR - http://eudml.org/doc/272944

ER -

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