Null controllability of the heat equation in unbounded domains by a finite measure control region

Piermarco Cannarsa; Patrick Martinez; Judith Vancostenoble

Displaying similar documents to “Null controllability of the heat equation in unbounded domains by a finite measure control region”

Null controllability of a nonlinear diffusion system in reactor dynamics

Kumarasamy Sakthivel, Krishnan Balachandran, Jong-Yeoul Park, Ganeshan Devipriya (2010)

Kybernetika

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In this paper, we prove the exact null controllability of certain diffusion system by rewriting it as an equivalent nonlinear parabolic integrodifferential equation with variable coefficients in a bounded interval of $ℝ$ with a distributed control acting on a subinterval. We first prove a global null controllability result of an associated linearized integrodifferential equation by establishing a suitable observability estimate for adjoint system with appropriate assumptions on the coefficients....

Null controllability of degenerate parabolic equations of Grushin and Kolmogorov type

Karine Beauchard (2011-2012)

Séminaire Laurent Schwartz — EDP et applications

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The goal of this note is to present the results of the references [5] and [4]. We study the null controllability of the parabolic equations associated with the Grushin-type operator $\partial_{x}^{2} + {| x |}^{2 γ} \partial_{y}^{2}$ ( $γ > 0$ ) in the rectangle $(x, y) \in (- 1, 1) \times (0, 1)$ or with the Kolmogorov-type operator $v^{γ} \partial_{x} f + \partial_{v}^{2} f$ ( $γ \in {1, 2}$ ) in the rectangle $(x, v) \in 𝕋 \times (- 1, 1)$ , under an additive control supported in an open subset $ω$ of the space domain. We prove that the Grushin-type...

Remarks on global controllability for the Burgers equation with two control forces

S. Guerrero, O. Yu. Imanuvilov (2007)

Annales de l'I.H.P. Analyse non linéaire

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Global non-negative controllability of the semilinear parabolic equation governed by bilinear control

Alexander Y. Khapalov (2002)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the global approximate controllability of the one dimensional semilinear convection-diffusion-reaction equation governed in a bounded domain via the coefficient (bilinear control) in the additive reaction term. Clearly, even in the linear case, due to the maximum principle, such system is not globally or locally controllable in any reasonable linear space. It is also well known that for the superlinear terms admitting a power growth at infinity the global approximate controllability...

Null-controllability of some systems of parabolic type by one control force

Farid Ammar Khodja, Assia Benabdallah, Cédric Dupaix, Ilya Kostin (2005)

ESAIM: Control, Optimisation and Calculus of Variations

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We study the null controllability by one control force of some linear systems of parabolic type. We give sufficient conditions for the null controllability property to be true and, in an abstract setting, we prove that it is not always possible to control.