Displaying similar documents to “Null controllability of nonlinear convective heat equations”

Remarks on non controllability of the heat equation with memory

Sergio Guerrero, Oleg Yurievich Imanuvilov (2013)

ESAIM: Control, Optimisation and Calculus of Variations

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In this paper we deal with the null controllability problem for the heat equation with a memory term by means of boundary controls. For each positive final time and when the control is acting on the whole boundary, we prove that there exists a set of initial conditions such that the null controllability property fails.

On the null-controllability of diffusion equations

Gérald Tenenbaum, Marius Tucsnak (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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This work studies the null-controllability of a class of abstract parabolic equations. The main contribution in the general case consists in giving a short proof of an abstract version of a sufficient condition for null-controllability which has been proposed by Lebeau and Robbiano. We do not assume that the control operator is admissible. Moreover, we give estimates of the control cost. In the special case of the heat equation in rectangular domains, we provide an alternative...

On the null-controllability of diffusion equations

Gérald Tenenbaum, Marius Tucsnak (2011)

ESAIM: Control, Optimisation and Calculus of Variations

Similarity:

This work studies the null-controllability of a class of abstract parabolic equations. The main contribution in the general case consists in giving a short proof of an abstract version of a sufficient condition for null-controllability which has been proposed by Lebeau and Robbiano. We do not assume that the control operator is admissible. Moreover, we give estimates of the control cost. In the special case of the heat equation in rectangular domains, we provide an alternative...

Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients

Anna Doubova, A. Osses, J.-P. Puel (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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The results of this paper concern exact controllability to the trajectories for a coupled system of semilinear heat equations. We have transmission conditions on the interface and Dirichlet boundary conditions at the external part of the boundary so that the system can be viewed as a single equation with discontinuous coefficients in the principal part. Exact controllability to the trajectories is proved when we consider distributed controls supported in the part of the domain where...