The maximum principle for control systems described by linear parabolic equations

DOI10.1006/jmaa.2000.7449zbMath1078.49505OpenAlexW1969370969MaRDI QIDQ5945950

Hector O. Fattorini

Publication date: 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7449

zbMATH Keywords

maximum principleparabolic equationsdual of \(L^\infty\)separation theorem

Mathematics Subject Classification ID

Related Items (1)

On an invariant set in the heat conductivity problem with time lag

Cites Work

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• The time-optimal control problem in Banach spaces
• The maximum principle for linear infinite dimensional control systems with state constraints
• Minimax control of parabolic systems with Dirichlet boundary conditions and state constraints
• The maximum principle in infinite dimension
• A uniqueness theorem for parabolic equations
• Convergence of Suboptimal Controls: The Point Target Case
• The zero set of a solution of a parabolic equation.
• Necessary Optimality Conditions for Control Problems and the Stone--Cech Compactification
• Nodal sets of solutions of parabolic equations: II
• Time optimality and the maximum principle in infinite dimension
• Minimax Control of Parabolic Systems with State Constraints
• Time-Optimal Control of Solutions of Operational Differenital Equations

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