Null controllability of the semilinear heat equation

Fernandez-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 -