# Null controllability of nonlinear convective heat equations

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

- Volume: 5, page 157-173
- ISSN: 1292-8119

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topAniţa, Sebastian, and Barbu, Viorel. "Null controllability of nonlinear convective heat equations." ESAIM: Control, Optimisation and Calculus of Variations 5 (2010): 157-173. <http://eudml.org/doc/116560>.

@article{Aniţa2010,

abstract = {
The internal and boundary exact null
controllability of nonlinear convective heat equations with homogeneous
Dirichlet boundary conditions are studied. The methods we use combine
Kakutani fixed point theorem, Carleman estimates for the backward adjoint
linearized system, interpolation inequalities and some estimates in the
theory of parabolic boundary value problems in Lk.
},

author = {Aniţa, Sebastian, Barbu, Viorel},

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

keywords = {Null controllability; Carleman estimates;
interpolation inequality; Kakutani fixed point theorem.; interpolation inequality; Kakutani fixed point theorem; nonlinear partial differential equation; exact null controllability},

language = {eng},

month = {3},

pages = {157-173},

publisher = {EDP Sciences},

title = {Null controllability of nonlinear convective heat equations},

url = {http://eudml.org/doc/116560},

volume = {5},

year = {2010},

}

TY - JOUR

AU - Aniţa, Sebastian

AU - Barbu, Viorel

TI - Null controllability of nonlinear convective heat equations

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 5

SP - 157

EP - 173

AB -
The internal and boundary exact null
controllability of nonlinear convective heat equations with homogeneous
Dirichlet boundary conditions are studied. The methods we use combine
Kakutani fixed point theorem, Carleman estimates for the backward adjoint
linearized system, interpolation inequalities and some estimates in the
theory of parabolic boundary value problems in Lk.

LA - eng

KW - Null controllability; Carleman estimates;
interpolation inequality; Kakutani fixed point theorem.; interpolation inequality; Kakutani fixed point theorem; nonlinear partial differential equation; exact null controllability

UR - http://eudml.org/doc/116560

ER -

## References

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