Necessary conditions for minimax control problems of second order elliptic partial differential equations

DOI10.2996/kmj/1138039853zbMath0802.49016OpenAlexW2016408881MaRDI QIDQ1321780

Jiong-min Yong

Publication date: 28 April 1994

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://purl.umn.edu/2401

zbMATH Keywords

minimax problemPontryagin's maximum principle

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Optimality conditions for minimax problems (49K35)

Related Items (4)

Minimax control for evolutionary variational bilateral problem ⋮ Optimal control problems for a class of semilinear multisolution elliptic equations ⋮ Minimax control of an elliptic variational bilateral problem ⋮ Indirect obstacle minimax control for elliptic variational inequalities

Cites Work

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• Corrigendum: Optimal control of semilinear elliptic equations with pointwise constraints on the gradient of the state
• Un principe de Pontryagine pour le contrôle des systèmes semilinéaires elliptiques. (A Pontryagin principle for control of semilinear elliptic systems)
• Pontryagin maximum principle for semilinear second order elliptic partial differential equations and variational inequalities with state constraints
• Existence theory of optimal controls for distributed parameter systems
• Optimal control theory
• Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus
• Measurable multifunctions, selectors, and Filippov's implicit functions lemma
• The Bellman equation for minimizing the maximum cost
• Necessary Conditions for Optimal Control of Distributed Parameter Systems
• Nonconvex minimization problems
• The Pontryagin maximum principle for minimax problems of optimal control
• Pontryagin Maximum Principle for Semilinear and Quasilinear Parabolic Equations with Pointwise State Constraints

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