Weak duality for parabolic boundary control problems

DOI10.1016/0022-247X(82)90068-3zbMath0503.49009MaRDI QIDQ1173266

Uwe Mackenroth

Publication date: 1982

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

zbMATH Keywords

dualityparabolic boundary control problems

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Initial-boundary value problems for second-order parabolic equations (35K20) Methods involving semicontinuity and convergence; relaxation (49J45) Duality theory (optimization) (49N15) Existence theories for optimal control problems involving partial differential equations (49J20)

Cites Work

• Lower bounds and duality in the optimal control of distributed systems
• State constrained control problems for parabolic systems: Regularity of optimal solutions
• Convex parabolic boundary control problems with pointwise state constraints
• An application of duality to distributed optimal control problems with constraints on the control and the state
• Approximation numérique de problèmes de contrôle optimal avec contrainte sur le contrôle et sur l'etat
• Boundary Control Problems with Convex Cost Criterion
• Optimalitätsbedingungen und dualltät bei kostandsrestringierten parabolischen kontrollproblemen
• On the Control Problem of Bolza in Hilbert Spaces
• State Constraints in Convex Control Problems of Bolza
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