Exact controllability to trajectories for a semilinear heat equation with a superlinear nonlinearity

DOI10.1007/s10440-008-9385-1zbMath1190.93009OpenAlexW2104510781MaRDI QIDQ973814

Youjun Xu, Zhen-Hai Liu

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9385-1

Mathematics Subject Classification ID

Controllability (93B05) Multivariable systems, multidimensional control systems (93C35) Linear systems in control theory (93C05) Duality theory (optimization) (49N15) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10)

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Cites Work

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• Semilinear evolution equations in Banach spaces
• Exact controllability of the superlinear heat equation
• Null and approximate controllability for weakly blowing up semilinear heat equations
• Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
• Existence of Insensitizing Controls for a Semilinear Heat Equation with a Superlinear Nonlinearity
• Exact controllability to trajectories for semilinear heat equations with discontinuous diffusion coefficients
• Approximate controllability of the semilinear heat equation
• On the Controllability of Parabolic Systems with a Nonlinear Term Involving the State and the Gradient