Null controllability for a parabolic equation with nonlocal nonlinearities

DOI10.1016/j.sysconle.2011.09.017zbMath1250.93031OpenAlexW1978332990MaRDI QIDQ450707

Juan Limaco, Silvano Bezerra De Menezes, Enrique Fernández-Cara

Publication date: 14 September 2012

Published in: Systems \& Control Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.sysconle.2011.09.017

zbMATH Keywords

null controllabilitynonlocal diffusionCarleman inequalitiesparabolic PDEs

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear systems in control theory (93C10)

Related Items (10)

Local null controllability of coupled degenerate systems with nonlocal terms and one control force ⋮ Unnamed Item ⋮ Local null controllability for a parabolic equation with local and nonlocal nonlinearities in moving domains ⋮ Local null controllability for degenerate parabolic equations with nonlocal term ⋮ Well‐posedness and exponential stability for a nonlinear wave equation with acoustic boundary conditions ⋮ Null controllability and numerical simulations for a class of degenerate parabolic equations with nonlocal nonlinearities ⋮ Theoretical and numerical local null controllability for a parabolic system with local and nonlocal nonlinearities ⋮ Local null-controllability of a nonlocal semilinear heat equation ⋮ On a nonlinear thermoelastic system with nonlocal coefficients ⋮ NULL CONTROLLABILITY OF DEGENERATE NONAUTONOMOUS PARABOLIC EQUATIONS

Cites Work

• On some model diffusion problems with a nonlocal lower order term
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• The diffusion of a population partly driven by its preferences
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• Approximate controllability of the semilinear heat equation
• On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient
• Controllability of parabolic equations
• A Unified Boundary Controllability Theory for Hyperbolic and Parabolic Partial Differential Equations
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
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