Insensitizing controls for a nonlinear parabolic equation with a nonlinear term involving the state and the gradient in unbounded domains

DOI10.1016/J.NA.2009.04.043zbMath1171.93009OpenAlexW1994934075MaRDI QIDQ732620

Youjun Xu, Dongyuan Liu, Xin Guang Zhang

Publication date: 9 October 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.04.043

zbMATH Keywords

controllabilityunbounded domainsinsensitizing controlnonlinear gradient term

Mathematics Subject Classification ID

Controllability (93B05) Control/observation systems governed by partial differential equations (93C20) Nonlinear parabolic equations (35K55) Heat equation (35K05)

Cites Work

• Null controllability in unbounded domains for the semilinear heat equation with nonlinearities involving gradient terms
• Insensitizing controls for a heat equation with a nonlinear term involving the state and the gradient
• Approximate controllability of a semilinear heat equation in unbounded domains
• Controls insensitizing the norm of the solution of a semilinear heat equation in unbounded domains
• Insensitizing controls for a semilinear heat equation

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