# Null controllability of the semilinear heat equation

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 2, page 87-103
- ISSN: 1292-8119

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topFernandez-Cara, E.. "Null controllability of the semilinear heat equation ." ESAIM: Control, Optimisation and Calculus of Variations 2 (2010): 87-103. <http://eudml.org/doc/116565>.

@article{Fernandez2010,

abstract = {
This paper is concerned with the null controllability of systems
governed by semilinear parabolic equations. The control is exerted
either on a small subdomain or on a portion of the boundary.
We prove that the system is null controllable when the nonlinear
term f(s) grows slower than s . log|s| as |s| → ∞.
},

author = {Fernandez-Cara, E.},

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

keywords = {Null controllability / semilinear parabolic partial
differential equations / fixed-point method.; controllability; semilinear heat equation; Schauder's fixed-point theorem},

language = {eng},

month = {3},

pages = {87-103},

publisher = {EDP Sciences},

title = {Null controllability of the semilinear heat equation },

url = {http://eudml.org/doc/116565},

volume = {2},

year = {2010},

}

TY - JOUR

AU - Fernandez-Cara, E.

TI - Null controllability of the semilinear heat equation

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 2

SP - 87

EP - 103

AB -
This paper is concerned with the null controllability of systems
governed by semilinear parabolic equations. The control is exerted
either on a small subdomain or on a portion of the boundary.
We prove that the system is null controllable when the nonlinear
term f(s) grows slower than s . log|s| as |s| → ∞.

LA - eng

KW - Null controllability / semilinear parabolic partial
differential equations / fixed-point method.; controllability; semilinear heat equation; Schauder's fixed-point theorem

UR - http://eudml.org/doc/116565

ER -

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