Local controllability of the stabilized Kuramoto-Sivashinsky system by a single control acting on the heat equation

DOI10.1016/j.matpur.2016.03.007zbMath1352.35068OpenAlexW2305206943MaRDI QIDQ304877

Nicolás Carreño, Eduardo Cerpa

Publication date: 26 August 2016

Published in: Journal de Mathématiques Pures et Appliquées. Neuvième Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matpur.2016.03.007

zbMATH Keywords

distributed controlparabolic systemCarleman inequalitiescontrollability to trajectories

Mathematics Subject Classification ID

Controllability (93B05) Nonlinear parabolic equations (35K55) Nonlinear systems in control theory (93C10)

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Carleman estimate and null controllability of a fourth order parabolic equation in dimension \(N\geq 2\) ⋮ On the cost of null controllability of a fourth-order parabolic equation ⋮ Null Controllability for Fourth Order Stochastic Parabolic Equations ⋮ Null-Controllability of the Linear Kuramoto--Sivashinsky Equation on Star-Shaped Trees ⋮ Local exact controllability to the trajectories of Burgers-Fisher equation ⋮ Controllability of a simplified time-discrete stabilized Kuramoto-Sivashinsky system ⋮ Boundary controllability of a simplified stabilized Kuramoto-Sivashinsky system ⋮ Local null controllability of the stabilized Kuramoto-Sivashinsky system using moment method ⋮ Local null-controllability of a system coupling Kuramoto-Sivashinsky-KdV and elliptic equations ⋮ Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation ⋮ Carleman estimate for an adjoint of a damped beam equation and an application to null controllability ⋮ Null controllability of semi-linear fourth order parabolic equations ⋮ Local exact controllability to the trajectories of the Cahn-Hilliard equation ⋮ Boundary controllability of a cascade system coupling fourth- and second-order parabolic equations ⋮ Stackelberg-Nash exact controllability for the Kuramoto-Sivashinsky equation with boundary and distributed controls ⋮ Controllability results for stochastic coupled systems of fourth- and second-order parabolic equations

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