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Null controllability of nonlinear convective heat equations

Published online by Cambridge University Press:  15 August 2002

Sebastian Aniţa  and
Viorel Barbu
Sebastian Aniţa
Affiliation:
Faculty of Mathematics, University “Al.I. Cuza", 6600 Iaşi, Romania.
Viorel Barbu
Affiliation:
Faculty of Mathematics, University “Al.I. Cuza", 6600 Iaşi, Romania.
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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.

Keywords

Null controllabilityCarleman estimatesinterpolation inequalityKakutani fixed point theorem.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 5 , 2000 , pp. 157 - 173
Copyright
© EDP Sciences, SMAI, 2000

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