An obstruction to small time local null controllability for a viscous Burgers' equation

DOI10.24033/asens.2373zbMath1415.93051arXiv1511.04995OpenAlexW2963961449WikidataQ128554329 ScholiaQ128554329MaRDI QIDQ5378076

Frédéric Marbach

Publication date: 11 June 2019

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.04995

zbMATH Keywords

controllabilityweakly singular integral operatorBurgersquadratic obstruction

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Operator-theoretic methods (93B28) Integral operators (47G10)

Related Items (7)

Remark on the global null controllability for a viscous Burgers-particle system with particle supported control ⋮ Small-time global null controllability of generalized Burgers’ equations ⋮ Quadratic behaviors of the 1D linear Schrödinger equation with bilinear control ⋮ Null Controllability of a Linearized Korteweg--de Vries Equation by Backstepping Approach ⋮ Small-time global stabilization of the viscous Burgers equation with three scalar controls ⋮ Quadratic obstructions to controllability, from finite to infinite dimension ⋮ Unexpected quadratic behaviors for the small-time local null controllability of scalar-input parabolic equations

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