Theoretical and numerical local null controllability for a parabolic system with local and nonlocal nonlinearities

DOI10.1016/j.amc.2013.08.035zbMath1329.93083OpenAlexW2041786090MaRDI QIDQ907572

Enrique Fernández-Cara, Haroldo R. Clark, Luis Adauto da Justa Medeiros, Juan Limaco

Publication date: 25 January 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.08.035

zbMATH Keywords

null controllabilityquasi-Newton methodsCarleman inequalitiesnonlocal nonlinearitiesnonlinear parabolic PDEe

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20)

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Cites Work

• Null controllability for a parabolic equation with nonlocal nonlinearities
• Carleman inequalities for parabolic equations in Sobolev spaces of negative order and exact controllability for semilinear parabolic equations
• On some model diffusion problems with a nonlocal lower order term
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
• Strong convergent approximations of null controls for the 1D heat equation
• Remarks on a nonlocal problem involving the Dirichlet energy
• Remarks on exact controllability for the Navier-Stokes equations
• Convergence and Applications of Newton-type Iterations
• 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
• Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
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