Null controllability with constraints on the state for the semilinear heat equation

DOI10.1007/s10957-009-9568-6zbMath1193.93075OpenAlexW2077929606WikidataQ69846127 ScholiaQ69846127MaRDI QIDQ846935

G. Massengo Mophou, Ousseynou Nakoulima

Publication date: 15 February 2010

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-009-9568-6

zbMATH Keywords

observability inequalitynull controllabilityCarleman inequalitiesnonlinear PDEs of parabolic typesystems governed by PDEs

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Heat equation (35K05)

Related Items (12)

Simultaneous null controllability with constraint on the control ⋮ Control of Stackelberg for coupled parabolic equations ⋮ Some control problems for the Burgers equation ⋮ Stability and Controllability of Operator Differential Equations ⋮ Null controllability with constraints on the state for stochastic heat equation ⋮ Null controllability with constraints on the state for the Korteweg-de Vries equation ⋮ Null controllability with constraints on the state for the linear Korteweg-de Vries equation ⋮ Null controllability with constraints on the state for the reaction-diffusion system ⋮ Internal controllability of the Kawahara equation on a bounded domain ⋮ Optimal control for distributed linear systems subjected to null-controllability ⋮ Unnamed Item ⋮ Null controllability with constraints on the state for the 1-D Kuramoto-Sivashinsky equation

Cites Work

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• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
• Optimal control for distributed systems subject to null-controllability. Application to discriminating sentinels

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