Controllability for a parabolic equation with a nonlinear term involving the state and the gradient

DOI10.1007/S12190-008-0124-6zbMath1180.35298OpenAlexW1994876757MaRDI QIDQ5902187

Zhen-Hai Liu, Youjun Xu, Jing Li

Publication date: 26 October 2009

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

Full work available at URL: https://doi.org/10.1007/s12190-008-0124-6

zbMATH Keywords

controllabilityparabolic equationfixed point argumentsFourier boundary conditionsnonlinear gradient term

Mathematics Subject Classification ID

Controllability (93B05) Initial-boundary value problems for second-order parabolic equations (35K20) Quasilinear parabolic equations (35K59)

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Global solutions of wave equations with multiple nonlinear source terms under acoustic boundary conditions

Cites Work

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• 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
• 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

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